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Finding the Fourth Proportional to 296,724.31, 409,452.63 and 175,846.12

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Solution

The fourth proportional to 296,724.31, 409,452.63 and 175,846.12 is: 242,651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,724.31 : 409,452.63 = 175,846.12 : x
  2. Step 2: Convert to fraction form
    296,724.31/409,452.63 = 175,846.12/x
  3. Step 3: Cross multiply
    296,724.31x = 409,452.63 × 175,846.12
  4. Step 4: Simplify right side
    296,724.31x = 72,000,656,309.30
  5. Step 5: Solve for x
    x = 72,000,656,309.30/296,724.31
  6. Step 6: Final answer
    x = 242,651.69

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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.