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Finding the Fourth Proportional to 412,847.15, 569,722.21 and 240,865.11

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Solution

The fourth proportional to 412,847.15, 569,722.21 and 240,865.11 is: 332,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,847.15 : 569,722.21 = 240,865.11 : x
  2. Step 2: Convert to fraction form
    412,847.15/569,722.21 = 240,865.11/x
  3. Step 3: Cross multiply
    412,847.15x = 569,722.21 × 240,865.11
  4. Step 4: Simplify right side
    412,847.15x = 137,226,202,178.93
  5. Step 5: Solve for x
    x = 137,226,202,178.93/412,847.15
  6. Step 6: Final answer
    x = 332,389.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.