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Finding the Fourth Proportional to 294,616.32, 441,854.40 and 81,379.51

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Solution

The fourth proportional to 294,616.32, 441,854.40 and 81,379.51 is: 122,049.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,616.32 : 441,854.40 = 81,379.51 : x
  2. Step 2: Convert to fraction form
    294,616.32/441,854.40 = 81,379.51/x
  3. Step 3: Cross multiply
    294,616.32x = 441,854.40 × 81,379.51
  4. Step 4: Simplify right side
    294,616.32x = 35,957,893,763.88
  5. Step 5: Solve for x
    x = 35,957,893,763.88/294,616.32
  6. Step 6: Final answer
    x = 122,049.91

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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.