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Finding the Fourth Proportional to 337,644.72, 506,467.02 and 137,964.90

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Solution

The fourth proportional to 337,644.72, 506,467.02 and 137,964.90 is: 206,947.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,644.72 : 506,467.02 = 137,964.90 : x
  2. Step 2: Convert to fraction form
    337,644.72/506,467.02 = 137,964.90/x
  3. Step 3: Cross multiply
    337,644.72x = 506,467.02 × 137,964.90
  4. Step 4: Simplify right side
    337,644.72x = 69,874,671,767.60
  5. Step 5: Solve for x
    x = 69,874,671,767.60/337,644.72
  6. Step 6: Final answer
    x = 206,947.33

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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.