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Finding the Fourth Proportional to 294,808.80, 442,213.17 and 73,192.80

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Solution

The fourth proportional to 294,808.80, 442,213.17 and 73,192.80 is: 109,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,808.80 : 442,213.17 = 73,192.80 : x
  2. Step 2: Convert to fraction form
    294,808.80/442,213.17 = 73,192.80/x
  3. Step 3: Cross multiply
    294,808.80x = 442,213.17 × 73,192.80
  4. Step 4: Simplify right side
    294,808.80x = 32,366,820,109.18
  5. Step 5: Solve for x
    x = 32,366,820,109.18/294,808.80
  6. Step 6: Final answer
    x = 109,789.19

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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.