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Finding the Fourth Proportional to 252,057.40, 378,086.10 and 232,811.80

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Solution

The fourth proportional to 252,057.40, 378,086.10 and 232,811.80 is: 349,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,057.40 : 378,086.10 = 232,811.80 : x
  2. Step 2: Convert to fraction form
    252,057.40/378,086.10 = 232,811.80/x
  3. Step 3: Cross multiply
    252,057.40x = 378,086.10 × 232,811.80
  4. Step 4: Simplify right side
    252,057.40x = 88,022,905,495.98
  5. Step 5: Solve for x
    x = 88,022,905,495.98/252,057.40
  6. Step 6: Final answer
    x = 349,217.70

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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.