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Finding the Fourth Proportional to 486,965.40, 730,448.10 and 132,023.40

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Solution

The fourth proportional to 486,965.40, 730,448.10 and 132,023.40 is: 198,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,965.40 : 730,448.10 = 132,023.40 : x
  2. Step 2: Convert to fraction form
    486,965.40/730,448.10 = 132,023.40/x
  3. Step 3: Cross multiply
    486,965.40x = 730,448.10 × 132,023.40
  4. Step 4: Simplify right side
    486,965.40x = 96,436,241,685.54
  5. Step 5: Solve for x
    x = 96,436,241,685.54/486,965.40
  6. Step 6: Final answer
    x = 198,035.10

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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.