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Finding the Fourth Proportional to 361,652.70, 541,414.86 and 241,411.40

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Solution

The fourth proportional to 361,652.70, 541,414.86 and 241,411.40 is: 361,406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,652.70 : 541,414.86 = 241,411.40 : x
  2. Step 2: Convert to fraction form
    361,652.70/541,414.86 = 241,411.40/x
  3. Step 3: Cross multiply
    361,652.70x = 541,414.86 × 241,411.40
  4. Step 4: Simplify right side
    361,652.70x = 130,703,722,154.74
  5. Step 5: Solve for x
    x = 130,703,722,154.74/361,652.70
  6. Step 6: Final answer
    x = 361,406.74

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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.