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Finding the Fourth Proportional to 400,032.36, 599,863.86 and 147,249.48

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Solution

The fourth proportional to 400,032.36, 599,863.86 and 147,249.48 is: 220,806.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,032.36 : 599,863.86 = 147,249.48 : x
  2. Step 2: Convert to fraction form
    400,032.36/599,863.86 = 147,249.48/x
  3. Step 3: Cross multiply
    400,032.36x = 599,863.86 × 147,249.48
  4. Step 4: Simplify right side
    400,032.36x = 88,329,641,455.79
  5. Step 5: Solve for x
    x = 88,329,641,455.79/400,032.36
  6. Step 6: Final answer
    x = 220,806.24

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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.