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Finding the Fourth Proportional to 361,952.28, 542,906.22 and 162,219.06

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Solution

The fourth proportional to 361,952.28, 542,906.22 and 162,219.06 is: 243,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,952.28 : 542,906.22 = 162,219.06 : x
  2. Step 2: Convert to fraction form
    361,952.28/542,906.22 = 162,219.06/x
  3. Step 3: Cross multiply
    361,952.28x = 542,906.22 × 162,219.06
  4. Step 4: Simplify right side
    361,952.28x = 88,069,736,676.55
  5. Step 5: Solve for x
    x = 88,069,736,676.55/361,952.28
  6. Step 6: Final answer
    x = 243,318.64

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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.