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Finding the Fourth Proportional to 417,761.47, 576,213.06 and 383,417.02

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Solution

The fourth proportional to 417,761.47, 576,213.06 and 383,417.02 is: 528,842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,761.47 : 576,213.06 = 383,417.02 : x
  2. Step 2: Convert to fraction form
    417,761.47/576,213.06 = 383,417.02/x
  3. Step 3: Cross multiply
    417,761.47x = 576,213.06 × 383,417.02
  4. Step 4: Simplify right side
    417,761.47x = 220,929,894,350.28
  5. Step 5: Solve for x
    x = 220,929,894,350.28/417,761.47
  6. Step 6: Final answer
    x = 528,842.20

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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.