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Finding the Fourth Proportional to 497,430.96, 746,291.78 and 160,464.17

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Solution

The fourth proportional to 497,430.96, 746,291.78 and 160,464.17 is: 240,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,430.96 : 746,291.78 = 160,464.17 : x
  2. Step 2: Convert to fraction form
    497,430.96/746,291.78 = 160,464.17/x
  3. Step 3: Cross multiply
    497,430.96x = 746,291.78 × 160,464.17
  4. Step 4: Simplify right side
    497,430.96x = 119,753,092,720.67
  5. Step 5: Solve for x
    x = 119,753,092,720.67/497,430.96
  6. Step 6: Final answer
    x = 240,743.14

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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.