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Finding the Fourth Proportional to 294,845.20, 442,267.80 and 73,229.20

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Solution

The fourth proportional to 294,845.20, 442,267.80 and 73,229.20 is: 109,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,845.20 : 442,267.80 = 73,229.20 : x
  2. Step 2: Convert to fraction form
    294,845.20/442,267.80 = 73,229.20/x
  3. Step 3: Cross multiply
    294,845.20x = 442,267.80 × 73,229.20
  4. Step 4: Simplify right side
    294,845.20x = 32,386,917,179.76
  5. Step 5: Solve for x
    x = 32,386,917,179.76/294,845.20
  6. Step 6: Final answer
    x = 109,843.80

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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.