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Finding the Fourth Proportional to 406,191.24, 560,543.46 and 227,343.24

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Solution

The fourth proportional to 406,191.24, 560,543.46 and 227,343.24 is: 313,733.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,191.24 : 560,543.46 = 227,343.24 : x
  2. Step 2: Convert to fraction form
    406,191.24/560,543.46 = 227,343.24/x
  3. Step 3: Cross multiply
    406,191.24x = 560,543.46 × 227,343.24
  4. Step 4: Simplify right side
    406,191.24x = 127,435,766,357.21
  5. Step 5: Solve for x
    x = 127,435,766,357.21/406,191.24
  6. Step 6: Final answer
    x = 313,733.42

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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.