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Finding the Fourth Proportional to 361,132.60, 541,906.34 and 282,024.76

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Solution

The fourth proportional to 361,132.60, 541,906.34 and 282,024.76 is: 423,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,132.60 : 541,906.34 = 282,024.76 : x
  2. Step 2: Convert to fraction form
    361,132.60/541,906.34 = 282,024.76/x
  3. Step 3: Cross multiply
    361,132.60x = 541,906.34 × 282,024.76
  4. Step 4: Simplify right side
    361,132.60x = 152,831,005,480.98
  5. Step 5: Solve for x
    x = 152,831,005,480.98/361,132.60
  6. Step 6: Final answer
    x = 423,199.14

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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.