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Finding the Fourth Proportional to 542,302.92, 813,560.78 and 200,749.32

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Solution

The fourth proportional to 542,302.92, 813,560.78 and 200,749.32 is: 301,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,302.92 : 813,560.78 = 200,749.32 : x
  2. Step 2: Convert to fraction form
    542,302.92/813,560.78 = 200,749.32/x
  3. Step 3: Cross multiply
    542,302.92x = 813,560.78 × 200,749.32
  4. Step 4: Simplify right side
    542,302.92x = 163,321,773,363.67
  5. Step 5: Solve for x
    x = 163,321,773,363.67/542,302.92
  6. Step 6: Final answer
    x = 301,163.37

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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.