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Finding the Fourth Proportional to 406,178.89, 560,544.39 and 224,890.83

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Solution

The fourth proportional to 406,178.89, 560,544.39 and 224,890.83 is: 310,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,178.89 : 560,544.39 = 224,890.83 : x
  2. Step 2: Convert to fraction form
    406,178.89/560,544.39 = 224,890.83/x
  3. Step 3: Cross multiply
    406,178.89x = 560,544.39 × 224,890.83
  4. Step 4: Simplify right side
    406,178.89x = 126,061,290,316.22
  5. Step 5: Solve for x
    x = 126,061,290,316.22/406,178.89
  6. Step 6: Final answer
    x = 310,359.04

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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.