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Finding the Fourth Proportional to 337,410.80, 506,116.20 and 137,664.80

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Solution

The fourth proportional to 337,410.80, 506,116.20 and 137,664.80 is: 206,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,410.80 : 506,116.20 = 137,664.80 : x
  2. Step 2: Convert to fraction form
    337,410.80/506,116.20 = 137,664.80/x
  3. Step 3: Cross multiply
    337,410.80x = 506,116.20 × 137,664.80
  4. Step 4: Simplify right side
    337,410.80x = 69,674,385,449.76
  5. Step 5: Solve for x
    x = 69,674,385,449.76/337,410.80
  6. Step 6: Final answer
    x = 206,497.20

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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.