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Finding the Fourth Proportional to 296,359.70, 408,977.33 and 160,393.64

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Solution

The fourth proportional to 296,359.70, 408,977.33 and 160,393.64 is: 221,343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,359.70 : 408,977.33 = 160,393.64 : x
  2. Step 2: Convert to fraction form
    296,359.70/408,977.33 = 160,393.64/x
  3. Step 3: Cross multiply
    296,359.70x = 408,977.33 × 160,393.64
  4. Step 4: Simplify right side
    296,359.70x = 65,597,359,789.33
  5. Step 5: Solve for x
    x = 65,597,359,789.33/296,359.70
  6. Step 6: Final answer
    x = 221,343.73

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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.