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Finding the Fourth Proportional to 393,446.52, 590,760.24 and 225,156.84

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Solution

The fourth proportional to 393,446.52, 590,760.24 and 225,156.84 is: 338,073.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,446.52 : 590,760.24 = 225,156.84 : x
  2. Step 2: Convert to fraction form
    393,446.52/590,760.24 = 225,156.84/x
  3. Step 3: Cross multiply
    393,446.52x = 590,760.24 × 225,156.84
  4. Step 4: Simplify right side
    393,446.52x = 133,013,708,836.04
  5. Step 5: Solve for x
    x = 133,013,708,836.04/393,446.52
  6. Step 6: Final answer
    x = 338,073.16

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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.