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Finding the Fourth Proportional to 497,249.87, 745,948.31 and 181,632.96

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Solution

The fourth proportional to 497,249.87, 745,948.31 and 181,632.96 is: 272,476.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,249.87 : 745,948.31 = 181,632.96 : x
  2. Step 2: Convert to fraction form
    497,249.87/745,948.31 = 181,632.96/x
  3. Step 3: Cross multiply
    497,249.87x = 745,948.31 × 181,632.96
  4. Step 4: Simplify right side
    497,249.87x = 135,488,798,644.13
  5. Step 5: Solve for x
    x = 135,488,798,644.13/497,249.87
  6. Step 6: Final answer
    x = 272,476.29

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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.