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Finding the Fourth Proportional to 414,654.92, 572,080.59 and 251,363.78

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Solution

The fourth proportional to 414,654.92, 572,080.59 and 251,363.78 is: 346,795.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,654.92 : 572,080.59 = 251,363.78 : x
  2. Step 2: Convert to fraction form
    414,654.92/572,080.59 = 251,363.78/x
  3. Step 3: Cross multiply
    414,654.92x = 572,080.59 × 251,363.78
  4. Step 4: Simplify right side
    414,654.92x = 143,800,339,567.03
  5. Step 5: Solve for x
    x = 143,800,339,567.03/414,654.92
  6. Step 6: Final answer
    x = 346,795.21

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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.