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Finding the Fourth Proportional to 422,830.96, 583,502.28 and 231,843.92

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Solution

The fourth proportional to 422,830.96, 583,502.28 and 231,843.92 is: 319,942.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,830.96 : 583,502.28 = 231,843.92 : x
  2. Step 2: Convert to fraction form
    422,830.96/583,502.28 = 231,843.92/x
  3. Step 3: Cross multiply
    422,830.96x = 583,502.28 × 231,843.92
  4. Step 4: Simplify right side
    422,830.96x = 135,281,455,924.14
  5. Step 5: Solve for x
    x = 135,281,455,924.14/422,830.96
  6. Step 6: Final answer
    x = 319,942.17

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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.