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Finding the Fourth Proportional to 542,905.30, 814,364.22 and 163,829.32

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Solution

The fourth proportional to 542,905.30, 814,364.22 and 163,829.32 is: 245,745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,905.30 : 814,364.22 = 163,829.32 : x
  2. Step 2: Convert to fraction form
    542,905.30/814,364.22 = 163,829.32/x
  3. Step 3: Cross multiply
    542,905.30x = 814,364.22 × 163,829.32
  4. Step 4: Simplify right side
    542,905.30x = 133,416,734,512.61
  5. Step 5: Solve for x
    x = 133,416,734,512.61/542,905.30
  6. Step 6: Final answer
    x = 245,745.87

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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.