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Finding the Fourth Proportional to 294,658.92, 442,181.97 and 161,632.62

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Solution

The fourth proportional to 294,658.92, 442,181.97 and 161,632.62 is: 242,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,658.92 : 442,181.97 = 161,632.62 : x
  2. Step 2: Convert to fraction form
    294,658.92/442,181.97 = 161,632.62/x
  3. Step 3: Cross multiply
    294,658.92x = 442,181.97 × 161,632.62
  4. Step 4: Simplify right side
    294,658.92x = 71,471,030,327.86
  5. Step 5: Solve for x
    x = 71,471,030,327.86/294,658.92
  6. Step 6: Final answer
    x = 242,555.12

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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.