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Finding the Fourth Proportional to 392,630.24, 588,938.88 and 97,142.24

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Solution

The fourth proportional to 392,630.24, 588,938.88 and 97,142.24 is: 145,711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,630.24 : 588,938.88 = 97,142.24 : x
  2. Step 2: Convert to fraction form
    392,630.24/588,938.88 = 97,142.24/x
  3. Step 3: Cross multiply
    392,630.24x = 588,938.88 × 97,142.24
  4. Step 4: Simplify right side
    392,630.24x = 57,210,842,026.29
  5. Step 5: Solve for x
    x = 57,210,842,026.29/392,630.24
  6. Step 6: Final answer
    x = 145,711.76

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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.