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Finding the Fourth Proportional to 723,471.96, 998,342.46 and 417,561.24

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Solution

The fourth proportional to 723,471.96, 998,342.46 and 417,561.24 is: 576,206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,471.96 : 998,342.46 = 417,561.24 : x
  2. Step 2: Convert to fraction form
    723,471.96/998,342.46 = 417,561.24/x
  3. Step 3: Cross multiply
    723,471.96x = 998,342.46 × 417,561.24
  4. Step 4: Simplify right side
    723,471.96x = 416,869,115,542.25
  5. Step 5: Solve for x
    x = 416,869,115,542.25/723,471.96
  6. Step 6: Final answer
    x = 576,206.32

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Double scale
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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.