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Finding the Fourth Proportional to 422,909.72, 583,616.22 and 231,924.52

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Solution

The fourth proportional to 422,909.72, 583,616.22 and 231,924.52 is: 320,056.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,909.72 : 583,616.22 = 231,924.52 : x
  2. Step 2: Convert to fraction form
    422,909.72/583,616.22 = 231,924.52/x
  3. Step 3: Cross multiply
    422,909.72x = 583,616.22 × 231,924.52
  4. Step 4: Simplify right side
    422,909.72x = 135,354,911,687.71
  5. Step 5: Solve for x
    x = 135,354,911,687.71/422,909.72
  6. Step 6: Final answer
    x = 320,056.28

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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.