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Finding the Fourth Proportional to 296,324.36, 444,441.42 and 96,644.42

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Solution

The fourth proportional to 296,324.36, 444,441.42 and 96,644.42 is: 144,951.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,324.36 : 444,441.42 = 96,644.42 : x
  2. Step 2: Convert to fraction form
    296,324.36/444,441.42 = 96,644.42/x
  3. Step 3: Cross multiply
    296,324.36x = 444,441.42 × 96,644.42
  4. Step 4: Simplify right side
    296,324.36x = 42,952,784,370.98
  5. Step 5: Solve for x
    x = 42,952,784,370.98/296,324.36
  6. Step 6: Final answer
    x = 144,951.92

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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.