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Finding the Fourth Proportional to 337,641.60, 506,462.40 and 137,830.80

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Solution

The fourth proportional to 337,641.60, 506,462.40 and 137,830.80 is: 206,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,641.60 : 506,462.40 = 137,830.80 : x
  2. Step 2: Convert to fraction form
    337,641.60/506,462.40 = 137,830.80/x
  3. Step 3: Cross multiply
    337,641.60x = 506,462.40 × 137,830.80
  4. Step 4: Simplify right side
    337,641.60x = 69,806,117,761.92
  5. Step 5: Solve for x
    x = 69,806,117,761.92/337,641.60
  6. Step 6: Final answer
    x = 206,746.20

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Why These Related Problems?

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