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Finding the Fourth Proportional to 294,620.31, 442,124.26 and 161,593.88

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Solution

The fourth proportional to 294,620.31, 442,124.26 and 161,593.88 is: 242,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,620.31 : 442,124.26 = 161,593.88 : x
  2. Step 2: Convert to fraction form
    294,620.31/442,124.26 = 161,593.88/x
  3. Step 3: Cross multiply
    294,620.31x = 442,124.26 × 161,593.88
  4. Step 4: Simplify right side
    294,620.31x = 71,444,572,000.92
  5. Step 5: Solve for x
    x = 71,444,572,000.92/294,620.31
  6. Step 6: Final answer
    x = 242,497.10

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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.