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Finding the Fourth Proportional to 295,231.80, 442,847.70 and 162,371.55

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Solution

The fourth proportional to 295,231.80, 442,847.70 and 162,371.55 is: 243,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,231.80 : 442,847.70 = 162,371.55 : x
  2. Step 2: Convert to fraction form
    295,231.80/442,847.70 = 162,371.55/x
  3. Step 3: Cross multiply
    295,231.80x = 442,847.70 × 162,371.55
  4. Step 4: Simplify right side
    295,231.80x = 71,905,867,462.94
  5. Step 5: Solve for x
    x = 71,905,867,462.94/295,231.80
  6. Step 6: Final answer
    x = 243,557.33

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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.