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Finding the Fourth Proportional to 406,242.96, 560,608.39 and 224,951.00

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Solution

The fourth proportional to 406,242.96, 560,608.39 and 224,951.00 is: 310,428.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,242.96 : 560,608.39 = 224,951.00 : x
  2. Step 2: Convert to fraction form
    406,242.96/560,608.39 = 224,951.00/x
  3. Step 3: Cross multiply
    406,242.96x = 560,608.39 × 224,951.00
  4. Step 4: Simplify right side
    406,242.96x = 126,109,414,573.47
  5. Step 5: Solve for x
    x = 126,109,414,573.47/406,242.96
  6. Step 6: Final answer
    x = 310,428.55

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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.