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Finding the Fourth Proportional to 329,189.85, 454,318.98 and 185,959.14

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Solution

The fourth proportional to 329,189.85, 454,318.98 and 185,959.14 is: 256,644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,189.85 : 454,318.98 = 185,959.14 : x
  2. Step 2: Convert to fraction form
    329,189.85/454,318.98 = 185,959.14/x
  3. Step 3: Cross multiply
    329,189.85x = 454,318.98 × 185,959.14
  4. Step 4: Simplify right side
    329,189.85x = 84,484,766,806.48
  5. Step 5: Solve for x
    x = 84,484,766,806.48/329,189.85
  6. Step 6: Final answer
    x = 256,644.51

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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.