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Finding the Fourth Proportional to 497,264.64, 745,760.42 and 137,349.42

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Solution

The fourth proportional to 497,264.64, 745,760.42 and 137,349.42 is: 205,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,264.64 : 745,760.42 = 137,349.42 : x
  2. Step 2: Convert to fraction form
    497,264.64/745,760.42 = 137,349.42/x
  3. Step 3: Cross multiply
    497,264.64x = 745,760.42 × 137,349.42
  4. Step 4: Simplify right side
    497,264.64x = 102,429,761,145.96
  5. Step 5: Solve for x
    x = 102,429,761,145.96/497,264.64
  6. Step 6: Final answer
    x = 205,986.42

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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.