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Finding the Fourth Proportional to 263,406.96, 395,199.12 and 83,521.74

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Solution

The fourth proportional to 263,406.96, 395,199.12 and 83,521.74 is: 125,310.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,406.96 : 395,199.12 = 83,521.74 : x
  2. Step 2: Convert to fraction form
    263,406.96/395,199.12 = 83,521.74/x
  3. Step 3: Cross multiply
    263,406.96x = 395,199.12 × 83,521.74
  4. Step 4: Simplify right side
    263,406.96x = 33,007,718,148.87
  5. Step 5: Solve for x
    x = 33,007,718,148.87/263,406.96
  6. Step 6: Final answer
    x = 125,310.73

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1.5x scale

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.