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Finding the Fourth Proportional to 296,146.92, 444,086.82 and 146,328.78

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Solution

The fourth proportional to 296,146.92, 444,086.82 and 146,328.78 is: 219,427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,146.92 : 444,086.82 = 146,328.78 : x
  2. Step 2: Convert to fraction form
    296,146.92/444,086.82 = 146,328.78/x
  3. Step 3: Cross multiply
    296,146.92x = 444,086.82 × 146,328.78
  4. Step 4: Simplify right side
    296,146.92x = 64,982,682,584.68
  5. Step 5: Solve for x
    x = 64,982,682,584.68/296,146.92
  6. Step 6: Final answer
    x = 219,427.18

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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.