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Finding the Fourth Proportional to 417,964.13, 576,967.08 and 282,182.01

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Solution

The fourth proportional to 417,964.13, 576,967.08 and 282,182.01 is: 389,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,964.13 : 576,967.08 = 282,182.01 : x
  2. Step 2: Convert to fraction form
    417,964.13/576,967.08 = 282,182.01/x
  3. Step 3: Cross multiply
    417,964.13x = 576,967.08 × 282,182.01
  4. Step 4: Simplify right side
    417,964.13x = 162,809,726,042.49
  5. Step 5: Solve for x
    x = 162,809,726,042.49/417,964.13
  6. Step 6: Final answer
    x = 389,530.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.