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Finding the Fourth Proportional to 299,785.13, 413,708.90 and 163,824.81

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Solution

The fourth proportional to 299,785.13, 413,708.90 and 163,824.81 is: 226,081.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,785.13 : 413,708.90 = 163,824.81 : x
  2. Step 2: Convert to fraction form
    299,785.13/413,708.90 = 163,824.81/x
  3. Step 3: Cross multiply
    299,785.13x = 413,708.90 × 163,824.81
  4. Step 4: Simplify right side
    299,785.13x = 67,775,781,079.32
  5. Step 5: Solve for x
    x = 67,775,781,079.32/299,785.13
  6. Step 6: Final answer
    x = 226,081.20

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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.