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Finding the Fourth Proportional to 301,493.13, 416,061.24 and 165,535.83

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Solution

The fourth proportional to 301,493.13, 416,061.24 and 165,535.83 is: 228,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,493.13 : 416,061.24 = 165,535.83 : x
  2. Step 2: Convert to fraction form
    301,493.13/416,061.24 = 165,535.83/x
  3. Step 3: Cross multiply
    301,493.13x = 416,061.24 × 165,535.83
  4. Step 4: Simplify right side
    301,493.13x = 68,873,042,694.23
  5. Step 5: Solve for x
    x = 68,873,042,694.23/301,493.13
  6. Step 6: Final answer
    x = 228,439.84

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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.