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Finding the Fourth Proportional to 392,130.56, 588,250.92 and 155,497.16

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Solution

The fourth proportional to 392,130.56, 588,250.92 and 155,497.16 is: 233,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,130.56 : 588,250.92 = 155,497.16 : x
  2. Step 2: Convert to fraction form
    392,130.56/588,250.92 = 155,497.16/x
  3. Step 3: Cross multiply
    392,130.56x = 588,250.92 × 155,497.16
  4. Step 4: Simplify right side
    392,130.56x = 91,471,347,427.39
  5. Step 5: Solve for x
    x = 91,471,347,427.39/392,130.56
  6. Step 6: Final answer
    x = 233,267.58

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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.