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Finding the Fourth Proportional to 299,754.27, 413,655.89 and 163,785.24

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Solution

The fourth proportional to 299,754.27, 413,655.89 and 163,785.24 is: 226,020.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,754.27 : 413,655.89 = 163,785.24 : x
  2. Step 2: Convert to fraction form
    299,754.27/413,655.89 = 163,785.24/x
  3. Step 3: Cross multiply
    299,754.27x = 413,655.89 × 163,785.24
  4. Step 4: Simplify right side
    299,754.27x = 67,750,728,402.14
  5. Step 5: Solve for x
    x = 67,750,728,402.14/299,754.27
  6. Step 6: Final answer
    x = 226,020.90

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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.