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Finding the Fourth Proportional to 422,847.57, 583,529.22 and 231,864.15

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Solution

The fourth proportional to 422,847.57, 583,529.22 and 231,864.15 is: 319,972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,847.57 : 583,529.22 = 231,864.15 : x
  2. Step 2: Convert to fraction form
    422,847.57/583,529.22 = 231,864.15/x
  3. Step 3: Cross multiply
    422,847.57x = 583,529.22 × 231,864.15
  4. Step 4: Simplify right side
    422,847.57x = 135,299,506,595.46
  5. Step 5: Solve for x
    x = 135,299,506,595.46/422,847.57
  6. Step 6: Final answer
    x = 319,972.29

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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.