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Finding the Fourth Proportional to 296,446.40, 444,727.20 and 86,091.20

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Solution

The fourth proportional to 296,446.40, 444,727.20 and 86,091.20 is: 129,153.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,446.40 : 444,727.20 = 86,091.20 : x
  2. Step 2: Convert to fraction form
    296,446.40/444,727.20 = 86,091.20/x
  3. Step 3: Cross multiply
    296,446.40x = 444,727.20 × 86,091.20
  4. Step 4: Simplify right side
    296,446.40x = 38,287,098,320.64
  5. Step 5: Solve for x
    x = 38,287,098,320.64/296,446.40
  6. Step 6: Final answer
    x = 129,153.53

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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.