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Finding the Fourth Proportional to 296,131.59, 408,660.36 and 160,165.68

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Solution

The fourth proportional to 296,131.59, 408,660.36 and 160,165.68 is: 221,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,131.59 : 408,660.36 = 160,165.68 : x
  2. Step 2: Convert to fraction form
    296,131.59/408,660.36 = 160,165.68/x
  3. Step 3: Cross multiply
    296,131.59x = 408,660.36 × 160,165.68
  4. Step 4: Simplify right side
    296,131.59x = 65,453,364,448.44
  5. Step 5: Solve for x
    x = 65,453,364,448.44/296,131.59
  6. Step 6: Final answer
    x = 221,027.97

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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.