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Finding the Fourth Proportional to 296,754.17, 409,520.14 and 160,791.55

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Solution

The fourth proportional to 296,754.17, 409,520.14 and 160,791.55 is: 221,892.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,754.17 : 409,520.14 = 160,791.55 : x
  2. Step 2: Convert to fraction form
    296,754.17/409,520.14 = 160,791.55/x
  3. Step 3: Cross multiply
    296,754.17x = 409,520.14 × 160,791.55
  4. Step 4: Simplify right side
    296,754.17x = 65,847,376,641.04
  5. Step 5: Solve for x
    x = 65,847,376,641.04/296,754.17
  6. Step 6: Final answer
    x = 221,892.00

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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.