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Finding the Fourth Proportional to 275,384.80, 413,252 and 117,614.56

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Solution

The fourth proportional to 275,384.80, 413,252 and 117,614.56 is: 176,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,384.80 : 413,252 = 117,614.56 : x
  2. Step 2: Convert to fraction form
    275,384.80/413,252 = 117,614.56/x
  3. Step 3: Cross multiply
    275,384.80x = 413,252 × 117,614.56
  4. Step 4: Simplify right side
    275,384.80x = 48,604,452,149.12
  5. Step 5: Solve for x
    x = 48,604,452,149.12/275,384.80
  6. Step 6: Final answer
    x = 176,496.50

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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.