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Finding the Fourth Proportional to 329,522.11, 454,760.12 and 186,295.48

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Solution

The fourth proportional to 329,522.11, 454,760.12 and 186,295.48 is: 257,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,522.11 : 454,760.12 = 186,295.48 : x
  2. Step 2: Convert to fraction form
    329,522.11/454,760.12 = 186,295.48/x
  3. Step 3: Cross multiply
    329,522.11x = 454,760.12 × 186,295.48
  4. Step 4: Simplify right side
    329,522.11x = 84,719,754,840.26
  5. Step 5: Solve for x
    x = 84,719,754,840.26/329,522.11
  6. Step 6: Final answer
    x = 257,098.85

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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.