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Finding the Fourth Proportional to 284,937.48, 427,248.26 and 116,575.96

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Solution

The fourth proportional to 284,937.48, 427,248.26 and 116,575.96 is: 174,799.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,937.48 : 427,248.26 = 116,575.96 : x
  2. Step 2: Convert to fraction form
    284,937.48/427,248.26 = 116,575.96/x
  3. Step 3: Cross multiply
    284,937.48x = 427,248.26 × 116,575.96
  4. Step 4: Simplify right side
    284,937.48x = 49,806,876,067.83
  5. Step 5: Solve for x
    x = 49,806,876,067.83/284,937.48
  6. Step 6: Final answer
    x = 174,799.31

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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.