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Finding the Fourth Proportional to 422,781.02, 583,443.48 and 231,793.94

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Solution

The fourth proportional to 422,781.02, 583,443.48 and 231,793.94 is: 319,878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,781.02 : 583,443.48 = 231,793.94 : x
  2. Step 2: Convert to fraction form
    422,781.02/583,443.48 = 231,793.94/x
  3. Step 3: Cross multiply
    422,781.02x = 583,443.48 × 231,793.94
  4. Step 4: Simplify right side
    422,781.02x = 135,238,662,996.51
  5. Step 5: Solve for x
    x = 135,238,662,996.51/422,781.02
  6. Step 6: Final answer
    x = 319,878.75

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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.