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Finding the Fourth Proportional to 301,794.39, 416,476.17 and 165,837.10

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Solution

The fourth proportional to 301,794.39, 416,476.17 and 165,837.10 is: 228,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,794.39 : 416,476.17 = 165,837.10 : x
  2. Step 2: Convert to fraction form
    301,794.39/416,476.17 = 165,837.10/x
  3. Step 3: Cross multiply
    301,794.39x = 416,476.17 × 165,837.10
  4. Step 4: Simplify right side
    301,794.39x = 69,067,200,251.91
  5. Step 5: Solve for x
    x = 69,067,200,251.91/301,794.39
  6. Step 6: Final answer
    x = 228,855.15

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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.