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Finding the Fourth Proportional to 293,076.40, 439,614.60 and 82,711.60

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Solution

The fourth proportional to 293,076.40, 439,614.60 and 82,711.60 is: 124,067.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,076.40 : 439,614.60 = 82,711.60 : x
  2. Step 2: Convert to fraction form
    293,076.40/439,614.60 = 82,711.60/x
  3. Step 3: Cross multiply
    293,076.40x = 439,614.60 × 82,711.60
  4. Step 4: Simplify right side
    293,076.40x = 36,361,226,949.36
  5. Step 5: Solve for x
    x = 36,361,226,949.36/293,076.40
  6. Step 6: Final answer
    x = 124,067.40

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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.