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Finding the Fourth Proportional to 732,438.20, 1,097,838.10 and 417,046.20

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Solution

The fourth proportional to 732,438.20, 1,097,838.10 and 417,046.20 is: 625,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,438.20 : 1,097,838.10 = 417,046.20 : x
  2. Step 2: Convert to fraction form
    732,438.20/1,097,838.10 = 417,046.20/x
  3. Step 3: Cross multiply
    732,438.20x = 1,097,838.10 × 417,046.20
  4. Step 4: Simplify right side
    732,438.20x = 457,849,207,820.22
  5. Step 5: Solve for x
    x = 457,849,207,820.22/732,438.20
  6. Step 6: Final answer
    x = 625,102.85

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