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Finding the Fourth Proportional to 296,778.30, 409,615.86 and 272,867.10

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Solution

The fourth proportional to 296,778.30, 409,615.86 and 272,867.10 is: 376,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,778.30 : 409,615.86 = 272,867.10 : x
  2. Step 2: Convert to fraction form
    296,778.30/409,615.86 = 272,867.10/x
  3. Step 3: Cross multiply
    296,778.30x = 409,615.86 × 272,867.10
  4. Step 4: Simplify right side
    296,778.30x = 111,770,691,832.21
  5. Step 5: Solve for x
    x = 111,770,691,832.21/296,778.30
  6. Step 6: Final answer
    x = 376,613.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.