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Finding the Fourth Proportional to 406,202.17, 560,590.53 and 224,930.95

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Solution

The fourth proportional to 406,202.17, 560,590.53 and 224,930.95 is: 310,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,202.17 : 560,590.53 = 224,930.95 : x
  2. Step 2: Convert to fraction form
    406,202.17/560,590.53 = 224,930.95/x
  3. Step 3: Cross multiply
    406,202.17x = 560,590.53 × 224,930.95
  4. Step 4: Simplify right side
    406,202.17x = 126,094,160,473.90
  5. Step 5: Solve for x
    x = 126,094,160,473.90/406,202.17
  6. Step 6: Final answer
    x = 310,422.17

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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.