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Finding the Fourth Proportional to 296,965.88, 409,807.58 and 167,902.13

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Solution

The fourth proportional to 296,965.88, 409,807.58 and 167,902.13 is: 231,701.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,965.88 : 409,807.58 = 167,902.13 : x
  2. Step 2: Convert to fraction form
    296,965.88/409,807.58 = 167,902.13/x
  3. Step 3: Cross multiply
    296,965.88x = 409,807.58 × 167,902.13
  4. Step 4: Simplify right side
    296,965.88x = 68,807,565,757.15
  5. Step 5: Solve for x
    x = 68,807,565,757.15/296,965.88
  6. Step 6: Final answer
    x = 231,701.92

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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.