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Finding the Fourth Proportional to 407,344.47, 610,489.53 and 227,425.20

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Solution

The fourth proportional to 407,344.47, 610,489.53 and 227,425.20 is: 340,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,344.47 : 610,489.53 = 227,425.20 : x
  2. Step 2: Convert to fraction form
    407,344.47/610,489.53 = 227,425.20/x
  3. Step 3: Cross multiply
    407,344.47x = 610,489.53 × 227,425.20
  4. Step 4: Simplify right side
    407,344.47x = 138,840,703,458.16
  5. Step 5: Solve for x
    x = 138,840,703,458.16/407,344.47
  6. Step 6: Final answer
    x = 340,843.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.