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Finding the Fourth Proportional to 406,002, 560,283.86 and 224,726.42

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Solution

The fourth proportional to 406,002, 560,283.86 and 224,726.42 is: 310,123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,002 : 560,283.86 = 224,726.42 : x
  2. Step 2: Convert to fraction form
    406,002/560,283.86 = 224,726.42/x
  3. Step 3: Cross multiply
    406,002x = 560,283.86 × 224,726.42
  4. Step 4: Simplify right side
    406,002x = 125,910,586,041.58
  5. Step 5: Solve for x
    x = 125,910,586,041.58/406,002
  6. Step 6: Final answer
    x = 310,123.07

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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.