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Finding the Fourth Proportional to 414,655.92, 572,081.97 and 251,364.78

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Solution

The fourth proportional to 414,655.92, 572,081.97 and 251,364.78 is: 346,796.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,655.92 : 572,081.97 = 251,364.78 : x
  2. Step 2: Convert to fraction form
    414,655.92/572,081.97 = 251,364.78/x
  3. Step 3: Cross multiply
    414,655.92x = 572,081.97 × 251,364.78
  4. Step 4: Simplify right side
    414,655.92x = 143,801,258,531.02
  5. Step 5: Solve for x
    x = 143,801,258,531.02/414,655.92
  6. Step 6: Final answer
    x = 346,796.59

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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.