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Finding the Fourth Proportional to 271,711.60, 407,585.40 and 72,029.20

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Solution

The fourth proportional to 271,711.60, 407,585.40 and 72,029.20 is: 108,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,711.60 : 407,585.40 = 72,029.20 : x
  2. Step 2: Convert to fraction form
    271,711.60/407,585.40 = 72,029.20/x
  3. Step 3: Cross multiply
    271,711.60x = 407,585.40 × 72,029.20
  4. Step 4: Simplify right side
    271,711.60x = 29,358,050,293.68
  5. Step 5: Solve for x
    x = 29,358,050,293.68/271,711.60
  6. Step 6: Final answer
    x = 108,048.57

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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.