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Finding the Fourth Proportional to 293,197.80, 404,656.38 and 185,777.83

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Solution

The fourth proportional to 293,197.80, 404,656.38 and 185,777.83 is: 256,400.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,197.80 : 404,656.38 = 185,777.83 : x
  2. Step 2: Convert to fraction form
    293,197.80/404,656.38 = 185,777.83/x
  3. Step 3: Cross multiply
    293,197.80x = 404,656.38 × 185,777.83
  4. Step 4: Simplify right side
    293,197.80x = 75,176,183,160.41
  5. Step 5: Solve for x
    x = 75,176,183,160.41/293,197.80
  6. Step 6: Final answer
    x = 256,400.91

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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.