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Finding the Fourth Proportional to 314,759.52, 434,354.48 and 178,793.04

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Solution

The fourth proportional to 314,759.52, 434,354.48 and 178,793.04 is: 246,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,759.52 : 434,354.48 = 178,793.04 : x
  2. Step 2: Convert to fraction form
    314,759.52/434,354.48 = 178,793.04/x
  3. Step 3: Cross multiply
    314,759.52x = 434,354.48 × 178,793.04
  4. Step 4: Simplify right side
    314,759.52x = 77,659,557,916.82
  5. Step 5: Solve for x
    x = 77,659,557,916.82/314,759.52
  6. Step 6: Final answer
    x = 246,726.64

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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.