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Finding the Fourth Proportional to 406,034.99, 560,314.00 and 224,747.27

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Solution

The fourth proportional to 406,034.99, 560,314.00 and 224,747.27 is: 310,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,034.99 : 560,314.00 = 224,747.27 : x
  2. Step 2: Convert to fraction form
    406,034.99/560,314.00 = 224,747.27/x
  3. Step 3: Cross multiply
    406,034.99x = 560,314.00 × 224,747.27
  4. Step 4: Simplify right side
    406,034.99x = 125,929,042,681.70
  5. Step 5: Solve for x
    x = 125,929,042,681.70/406,034.99
  6. Step 6: Final answer
    x = 310,143.33

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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.