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Finding the Fourth Proportional to 329,564.28, 454,793.94 and 186,319.56

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Solution

The fourth proportional to 329,564.28, 454,793.94 and 186,319.56 is: 257,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,564.28 : 454,793.94 = 186,319.56 : x
  2. Step 2: Convert to fraction form
    329,564.28/454,793.94 = 186,319.56/x
  3. Step 3: Cross multiply
    329,564.28x = 454,793.94 × 186,319.56
  4. Step 4: Simplify right side
    329,564.28x = 84,737,006,791.47
  5. Step 5: Solve for x
    x = 84,737,006,791.47/329,564.28
  6. Step 6: Final answer
    x = 257,118.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.