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Finding the Fourth Proportional to 414,306.68, 571,657.38 and 242,191.22

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Solution

The fourth proportional to 414,306.68, 571,657.38 and 242,191.22 is: 334,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,306.68 : 571,657.38 = 242,191.22 : x
  2. Step 2: Convert to fraction form
    414,306.68/571,657.38 = 242,191.22/x
  3. Step 3: Cross multiply
    414,306.68x = 571,657.38 × 242,191.22
  4. Step 4: Simplify right side
    414,306.68x = 138,450,398,284.20
  5. Step 5: Solve for x
    x = 138,450,398,284.20/414,306.68
  6. Step 6: Final answer
    x = 334,173.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.