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Finding the Fourth Proportional to 398,136.60, 598,371.30 and 391,138.20

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Solution

The fourth proportional to 398,136.60, 598,371.30 and 391,138.20 is: 587,853.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,136.60 : 598,371.30 = 391,138.20 : x
  2. Step 2: Convert to fraction form
    398,136.60/598,371.30 = 391,138.20/x
  3. Step 3: Cross multiply
    398,136.60x = 598,371.30 × 391,138.20
  4. Step 4: Simplify right side
    398,136.60x = 234,045,873,213.66
  5. Step 5: Solve for x
    x = 234,045,873,213.66/398,136.60
  6. Step 6: Final answer
    x = 587,853.20

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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.