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Finding the Fourth Proportional to 406,201.17, 560,589.15 and 224,929.95

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Solution

The fourth proportional to 406,201.17, 560,589.15 and 224,929.95 is: 310,420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,201.17 : 560,589.15 = 224,929.95 : x
  2. Step 2: Convert to fraction form
    406,201.17/560,589.15 = 224,929.95/x
  3. Step 3: Cross multiply
    406,201.17x = 560,589.15 × 224,929.95
  4. Step 4: Simplify right side
    406,201.17x = 126,093,289,480.04
  5. Step 5: Solve for x
    x = 126,093,289,480.04/406,201.17
  6. Step 6: Final answer
    x = 310,420.79

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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.