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Finding the Fourth Proportional to 296,885.25, 409,727.57 and 162,775.17

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Solution

The fourth proportional to 296,885.25, 409,727.57 and 162,775.17 is: 224,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,885.25 : 409,727.57 = 162,775.17 : x
  2. Step 2: Convert to fraction form
    296,885.25/409,727.57 = 162,775.17/x
  3. Step 3: Cross multiply
    296,885.25x = 409,727.57 × 162,775.17
  4. Step 4: Simplify right side
    296,885.25x = 66,693,474,046.56
  5. Step 5: Solve for x
    x = 66,693,474,046.56/296,885.25
  6. Step 6: Final answer
    x = 224,643.95

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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.