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Finding the Fourth Proportional to 589,362.30, 884,043.45 and 471,264.30

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Solution

The fourth proportional to 589,362.30, 884,043.45 and 471,264.30 is: 706,896.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,362.30 : 884,043.45 = 471,264.30 : x
  2. Step 2: Convert to fraction form
    589,362.30/884,043.45 = 471,264.30/x
  3. Step 3: Cross multiply
    589,362.30x = 884,043.45 × 471,264.30
  4. Step 4: Simplify right side
    589,362.30x = 416,618,117,633.84
  5. Step 5: Solve for x
    x = 416,618,117,633.84/589,362.30
  6. Step 6: Final answer
    x = 706,896.45

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.