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Finding the Fourth Proportional to 497,737.40, 746,606.10 and 310,854.20

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Solution

The fourth proportional to 497,737.40, 746,606.10 and 310,854.20 is: 466,281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,737.40 : 746,606.10 = 310,854.20 : x
  2. Step 2: Convert to fraction form
    497,737.40/746,606.10 = 310,854.20/x
  3. Step 3: Cross multiply
    497,737.40x = 746,606.10 × 310,854.20
  4. Step 4: Simplify right side
    497,737.40x = 232,085,641,930.62
  5. Step 5: Solve for x
    x = 232,085,641,930.62/497,737.40
  6. Step 6: Final answer
    x = 466,281.30

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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.