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Finding the Fourth Proportional to 299,568.17, 413,349.38 and 170,499.16

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Solution

The fourth proportional to 299,568.17, 413,349.38 and 170,499.16 is: 235,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,568.17 : 413,349.38 = 170,499.16 : x
  2. Step 2: Convert to fraction form
    299,568.17/413,349.38 = 170,499.16/x
  3. Step 3: Cross multiply
    299,568.17x = 413,349.38 × 170,499.16
  4. Step 4: Simplify right side
    299,568.17x = 70,475,722,380.08
  5. Step 5: Solve for x
    x = 70,475,722,380.08/299,568.17
  6. Step 6: Final answer
    x = 235,257.71

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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.