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Finding the Fourth Proportional to 406,200.17, 560,587.77 and 224,928.95

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Solution

The fourth proportional to 406,200.17, 560,587.77 and 224,928.95 is: 310,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,200.17 : 560,587.77 = 224,928.95 : x
  2. Step 2: Convert to fraction form
    406,200.17/560,587.77 = 224,928.95/x
  3. Step 3: Cross multiply
    406,200.17x = 560,587.77 × 224,928.95
  4. Step 4: Simplify right side
    406,200.17x = 126,092,418,488.94
  5. Step 5: Solve for x
    x = 126,092,418,488.94/406,200.17
  6. Step 6: Final answer
    x = 310,419.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.