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Finding the Fourth Proportional to 456,442.30, 684,663.45 and 203,722.30

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Solution

The fourth proportional to 456,442.30, 684,663.45 and 203,722.30 is: 305,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,442.30 : 684,663.45 = 203,722.30 : x
  2. Step 2: Convert to fraction form
    456,442.30/684,663.45 = 203,722.30/x
  3. Step 3: Cross multiply
    456,442.30x = 684,663.45 × 203,722.30
  4. Step 4: Simplify right side
    456,442.30x = 139,481,212,759.94
  5. Step 5: Solve for x
    x = 139,481,212,759.94/456,442.30
  6. Step 6: Final answer
    x = 305,583.45

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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.