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Finding the Fourth Proportional to 332,204.57, 498,386.22 and 107,565.24

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Solution

The fourth proportional to 332,204.57, 498,386.22 and 107,565.24 is: 161,373.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,204.57 : 498,386.22 = 107,565.24 : x
  2. Step 2: Convert to fraction form
    332,204.57/498,386.22 = 107,565.24/x
  3. Step 3: Cross multiply
    332,204.57x = 498,386.22 × 107,565.24
  4. Step 4: Simplify right side
    332,204.57x = 53,609,033,430.86
  5. Step 5: Solve for x
    x = 53,609,033,430.86/332,204.57
  6. Step 6: Final answer
    x = 161,373.56

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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.