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Finding the Fourth Proportional to 271,367.46, 407,070.69 and 71,685.90

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Solution

The fourth proportional to 271,367.46, 407,070.69 and 71,685.90 is: 107,534.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,367.46 : 407,070.69 = 71,685.90 : x
  2. Step 2: Convert to fraction form
    271,367.46/407,070.69 = 71,685.90/x
  3. Step 3: Cross multiply
    271,367.46x = 407,070.69 × 71,685.90
  4. Step 4: Simplify right side
    271,367.46x = 29,181,228,776.27
  5. Step 5: Solve for x
    x = 29,181,228,776.27/271,367.46
  6. Step 6: Final answer
    x = 107,534.00

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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.