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Finding the Fourth Proportional to 422,810.46, 583,473.99 and 231,823.38

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Solution

The fourth proportional to 422,810.46, 583,473.99 and 231,823.38 is: 319,913.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,810.46 : 583,473.99 = 231,823.38 : x
  2. Step 2: Convert to fraction form
    422,810.46/583,473.99 = 231,823.38/x
  3. Step 3: Cross multiply
    422,810.46x = 583,473.99 × 231,823.38
  4. Step 4: Simplify right side
    422,810.46x = 135,262,912,503.89
  5. Step 5: Solve for x
    x = 135,262,912,503.89/422,810.46
  6. Step 6: Final answer
    x = 319,913.83

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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.