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Finding the Fourth Proportional to 296,201.31, 408,756.57 and 160,234.93

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Solution

The fourth proportional to 296,201.31, 408,756.57 and 160,234.93 is: 221,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,201.31 : 408,756.57 = 160,234.93 : x
  2. Step 2: Convert to fraction form
    296,201.31/408,756.57 = 160,234.93/x
  3. Step 3: Cross multiply
    296,201.31x = 408,756.57 × 160,234.93
  4. Step 4: Simplify right side
    296,201.31x = 65,497,080,380.99
  5. Step 5: Solve for x
    x = 65,497,080,380.99/296,201.31
  6. Step 6: Final answer
    x = 221,123.53

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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.