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Finding the Fourth Proportional to 399,141.96, 598,395 and 230,470.80

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Solution

The fourth proportional to 399,141.96, 598,395 and 230,470.80 is: 345,522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,141.96 : 598,395 = 230,470.80 : x
  2. Step 2: Convert to fraction form
    399,141.96/598,395 = 230,470.80/x
  3. Step 3: Cross multiply
    399,141.96x = 598,395 × 230,470.80
  4. Step 4: Simplify right side
    399,141.96x = 137,912,574,366
  5. Step 5: Solve for x
    x = 137,912,574,366/399,141.96
  6. Step 6: Final answer
    x = 345,522.62

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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.