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Finding the Fourth Proportional to 305,832.16, 458,898.54 and 137,471.44

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Solution

The fourth proportional to 305,832.16, 458,898.54 and 137,471.44 is: 206,274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,832.16 : 458,898.54 = 137,471.44 : x
  2. Step 2: Convert to fraction form
    305,832.16/458,898.54 = 137,471.44/x
  3. Step 3: Cross multiply
    305,832.16x = 458,898.54 × 137,471.44
  4. Step 4: Simplify right side
    305,832.16x = 63,085,443,107.70
  5. Step 5: Solve for x
    x = 63,085,443,107.70/305,832.16
  6. Step 6: Final answer
    x = 206,274.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.