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Finding the Fourth Proportional to 497,262.64, 745,757.42 and 137,347.42

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Solution

The fourth proportional to 497,262.64, 745,757.42 and 137,347.42 is: 205,983.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,262.64 : 745,757.42 = 137,347.42 : x
  2. Step 2: Convert to fraction form
    497,262.64/745,757.42 = 137,347.42/x
  3. Step 3: Cross multiply
    497,262.64x = 745,757.42 × 137,347.42
  4. Step 4: Simplify right side
    497,262.64x = 102,427,857,582.86
  5. Step 5: Solve for x
    x = 102,427,857,582.86/497,262.64
  6. Step 6: Final answer
    x = 205,983.42

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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.