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Finding the Fourth Proportional to 392,204.70, 588,307.05 and 392,204.70

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Solution

The fourth proportional to 392,204.70, 588,307.05 and 392,204.70 is: 588,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,204.70 : 588,307.05 = 392,204.70 : x
  2. Step 2: Convert to fraction form
    392,204.70/588,307.05 = 392,204.70/x
  3. Step 3: Cross multiply
    392,204.70x = 588,307.05 × 392,204.70
  4. Step 4: Simplify right side
    392,204.70x = 230,736,790,053.14
  5. Step 5: Solve for x
    x = 230,736,790,053.14/392,204.70
  6. Step 6: Final answer
    x = 588,307.05

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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.