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Finding the Fourth Proportional to 361,143.40, 541,715.10 and 271,913.80

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Solution

The fourth proportional to 361,143.40, 541,715.10 and 271,913.80 is: 407,870.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,143.40 : 541,715.10 = 271,913.80 : x
  2. Step 2: Convert to fraction form
    361,143.40/541,715.10 = 271,913.80/x
  3. Step 3: Cross multiply
    361,143.40x = 541,715.10 × 271,913.80
  4. Step 4: Simplify right side
    361,143.40x = 147,299,811,358.38
  5. Step 5: Solve for x
    x = 147,299,811,358.38/361,143.40
  6. Step 6: Final answer
    x = 407,870.70

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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.