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Finding the Fourth Proportional to 422,466.50, 583,003.80 and 231,486.74

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Solution

The fourth proportional to 422,466.50, 583,003.80 and 231,486.74 is: 319,451.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,466.50 : 583,003.80 = 231,486.74 : x
  2. Step 2: Convert to fraction form
    422,466.50/583,003.80 = 231,486.74/x
  3. Step 3: Cross multiply
    422,466.50x = 583,003.80 × 231,486.74
  4. Step 4: Simplify right side
    422,466.50x = 134,957,649,069.61
  5. Step 5: Solve for x
    x = 134,957,649,069.61/422,466.50
  6. Step 6: Final answer
    x = 319,451.72

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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.