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Finding the Fourth Proportional to 324,809.96, 487,254.54 and 137,758.28

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Solution

The fourth proportional to 324,809.96, 487,254.54 and 137,758.28 is: 206,654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,809.96 : 487,254.54 = 137,758.28 : x
  2. Step 2: Convert to fraction form
    324,809.96/487,254.54 = 137,758.28/x
  3. Step 3: Cross multiply
    324,809.96x = 487,254.54 × 137,758.28
  4. Step 4: Simplify right side
    324,809.96x = 67,123,347,352.59
  5. Step 5: Solve for x
    x = 67,123,347,352.59/324,809.96
  6. Step 6: Final answer
    x = 206,654.22

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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.