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Finding the Fourth Proportional to 406,016.43, 560,288.39 and 224,728.71

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Solution

The fourth proportional to 406,016.43, 560,288.39 and 224,728.71 is: 310,117.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,016.43 : 560,288.39 = 224,728.71 : x
  2. Step 2: Convert to fraction form
    406,016.43/560,288.39 = 224,728.71/x
  3. Step 3: Cross multiply
    406,016.43x = 560,288.39 × 224,728.71
  4. Step 4: Simplify right side
    406,016.43x = 125,912,885,989.03
  5. Step 5: Solve for x
    x = 125,912,885,989.03/406,016.43
  6. Step 6: Final answer
    x = 310,117.71

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