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Finding the Fourth Proportional to 296,557.67, 409,251.51 and 160,591.61

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Solution

The fourth proportional to 296,557.67, 409,251.51 and 160,591.61 is: 221,617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,557.67 : 409,251.51 = 160,591.61 : x
  2. Step 2: Convert to fraction form
    296,557.67/409,251.51 = 160,591.61/x
  3. Step 3: Cross multiply
    296,557.67x = 409,251.51 × 160,591.61
  4. Step 4: Simplify right side
    296,557.67x = 65,722,359,908.96
  5. Step 5: Solve for x
    x = 65,722,359,908.96/296,557.67
  6. Step 6: Final answer
    x = 221,617.47

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1.5x scale

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.