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Finding the Fourth Proportional to 329,138.64, 454,211.64 and 185,898.96

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Solution

The fourth proportional to 329,138.64, 454,211.64 and 185,898.96 is: 256,540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,138.64 : 454,211.64 = 185,898.96 : x
  2. Step 2: Convert to fraction form
    329,138.64/454,211.64 = 185,898.96/x
  3. Step 3: Cross multiply
    329,138.64x = 454,211.64 × 185,898.96
  4. Step 4: Simplify right side
    329,138.64x = 84,437,471,495.89
  5. Step 5: Solve for x
    x = 84,437,471,495.89/329,138.64
  6. Step 6: Final answer
    x = 256,540.74

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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.