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Finding the Fourth Proportional to 406,232.48, 560,585.40 and 224,930

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Solution

The fourth proportional to 406,232.48, 560,585.40 and 224,930 is: 310,394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,232.48 : 560,585.40 = 224,930 : x
  2. Step 2: Convert to fraction form
    406,232.48/560,585.40 = 224,930/x
  3. Step 3: Cross multiply
    406,232.48x = 560,585.40 × 224,930
  4. Step 4: Simplify right side
    406,232.48x = 126,092,474,022
  5. Step 5: Solve for x
    x = 126,092,474,022/406,232.48
  6. Step 6: Final answer
    x = 310,394.86

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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.