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Finding the Fourth Proportional to 296,245.17, 408,817.89 and 160,278.66

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Solution

The fourth proportional to 296,245.17, 408,817.89 and 160,278.66 is: 221,184.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,245.17 : 408,817.89 = 160,278.66 : x
  2. Step 2: Convert to fraction form
    296,245.17/408,817.89 = 160,278.66/x
  3. Step 3: Cross multiply
    296,245.17x = 408,817.89 × 160,278.66
  4. Step 4: Simplify right side
    296,245.17x = 65,524,783,593.23
  5. Step 5: Solve for x
    x = 65,524,783,593.23/296,245.17
  6. Step 6: Final answer
    x = 221,184.31

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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.