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Finding the Fourth Proportional to 263,807.83, 395,719.13 and 164,255.59

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Solution

The fourth proportional to 263,807.83, 395,719.13 and 164,255.59 is: 246,387.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,807.83 : 395,719.13 = 164,255.59 : x
  2. Step 2: Convert to fraction form
    263,807.83/395,719.13 = 164,255.59/x
  3. Step 3: Cross multiply
    263,807.83x = 395,719.13 × 164,255.59
  4. Step 4: Simplify right side
    263,807.83x = 64,999,078,593.78
  5. Step 5: Solve for x
    x = 64,999,078,593.78/263,807.83
  6. Step 6: Final answer
    x = 246,387.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.