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Finding the Fourth Proportional to 406,505.43, 560,932.13 and 225,172.41

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Solution

The fourth proportional to 406,505.43, 560,932.13 and 225,172.41 is: 310,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,505.43 : 560,932.13 = 225,172.41 : x
  2. Step 2: Convert to fraction form
    406,505.43/560,932.13 = 225,172.41/x
  3. Step 3: Cross multiply
    406,505.43x = 560,932.13 × 225,172.41
  4. Step 4: Simplify right side
    406,505.43x = 126,306,438,432.67
  5. Step 5: Solve for x
    x = 126,306,438,432.67/406,505.43
  6. Step 6: Final answer
    x = 310,712.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.