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Finding the Fourth Proportional to 422,775.55, 583,429.47 and 231,801.31

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Solution

The fourth proportional to 422,775.55, 583,429.47 and 231,801.31 is: 319,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,775.55 : 583,429.47 = 231,801.31 : x
  2. Step 2: Convert to fraction form
    422,775.55/583,429.47 = 231,801.31/x
  3. Step 3: Cross multiply
    422,775.55x = 583,429.47 × 231,801.31
  4. Step 4: Simplify right side
    422,775.55x = 135,239,715,438.61
  5. Step 5: Solve for x
    x = 135,239,715,438.61/422,775.55
  6. Step 6: Final answer
    x = 319,885.38

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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.