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Finding the Fourth Proportional to 542,905.27, 814,364.17 and 163,829.29

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Solution

The fourth proportional to 542,905.27, 814,364.17 and 163,829.29 is: 245,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,905.27 : 814,364.17 = 163,829.29 : x
  2. Step 2: Convert to fraction form
    542,905.27/814,364.17 = 163,829.29/x
  3. Step 3: Cross multiply
    542,905.27x = 814,364.17 × 163,829.29
  4. Step 4: Simplify right side
    542,905.27x = 133,416,700,110.29
  5. Step 5: Solve for x
    x = 133,416,700,110.29/542,905.27
  6. Step 6: Final answer
    x = 245,745.82

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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.