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Finding the Fourth Proportional to 392,642.24, 588,956.88 and 97,154.24

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Solution

The fourth proportional to 392,642.24, 588,956.88 and 97,154.24 is: 145,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,642.24 : 588,956.88 = 97,154.24 : x
  2. Step 2: Convert to fraction form
    392,642.24/588,956.88 = 97,154.24/x
  3. Step 3: Cross multiply
    392,642.24x = 588,956.88 × 97,154.24
  4. Step 4: Simplify right side
    392,642.24x = 57,219,658,069.17
  5. Step 5: Solve for x
    x = 57,219,658,069.17/392,642.24
  6. Step 6: Final answer
    x = 145,729.76

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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.