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Finding the Fourth Proportional to 406,267.33, 560,648.42 and 224,979.04

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Solution

The fourth proportional to 406,267.33, 560,648.42 and 224,979.04 is: 310,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,267.33 : 560,648.42 = 224,979.04 : x
  2. Step 2: Convert to fraction form
    406,267.33/560,648.42 = 224,979.04/x
  3. Step 3: Cross multiply
    406,267.33x = 560,648.42 × 224,979.04
  4. Step 4: Simplify right side
    406,267.33x = 126,134,143,309.12
  5. Step 5: Solve for x
    x = 126,134,143,309.12/406,267.33
  6. Step 6: Final answer
    x = 310,470.80

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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.