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Finding the Fourth Proportional to 329,257.64, 454,377.86 and 178,354.76

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Solution

The fourth proportional to 329,257.64, 454,377.86 and 178,354.76 is: 246,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,257.64 : 454,377.86 = 178,354.76 : x
  2. Step 2: Convert to fraction form
    329,257.64/454,377.86 = 178,354.76/x
  3. Step 3: Cross multiply
    329,257.64x = 454,377.86 × 178,354.76
  4. Step 4: Simplify right side
    329,257.64x = 81,040,454,169.61
  5. Step 5: Solve for x
    x = 81,040,454,169.61/329,257.64
  6. Step 6: Final answer
    x = 246,130.82

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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.