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Finding the Fourth Proportional to 498,109.83, 747,383.51 and 261,397.18

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Solution

The fourth proportional to 498,109.83, 747,383.51 and 261,397.18 is: 392,210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,109.83 : 747,383.51 = 261,397.18 : x
  2. Step 2: Convert to fraction form
    498,109.83/747,383.51 = 261,397.18/x
  3. Step 3: Cross multiply
    498,109.83x = 747,383.51 × 261,397.18
  4. Step 4: Simplify right side
    498,109.83x = 195,363,941,892.50
  5. Step 5: Solve for x
    x = 195,363,941,892.50/498,109.83
  6. Step 6: Final answer
    x = 392,210.57

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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.