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Finding the Fourth Proportional to 400,843.92, 601,104.42 and 144,603.66

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Solution

The fourth proportional to 400,843.92, 601,104.42 and 144,603.66 is: 216,847.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,843.92 : 601,104.42 = 144,603.66 : x
  2. Step 2: Convert to fraction form
    400,843.92/601,104.42 = 144,603.66/x
  3. Step 3: Cross multiply
    400,843.92x = 601,104.42 × 144,603.66
  4. Step 4: Simplify right side
    400,843.92x = 86,921,899,174.18
  5. Step 5: Solve for x
    x = 86,921,899,174.18/400,843.92
  6. Step 6: Final answer
    x = 216,847.24

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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.