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Finding the Fourth Proportional to 413,687.86, 570,888.93 and 234,839.86

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Solution

The fourth proportional to 413,687.86, 570,888.93 and 234,839.86 is: 324,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,687.86 : 570,888.93 = 234,839.86 : x
  2. Step 2: Convert to fraction form
    413,687.86/570,888.93 = 234,839.86/x
  3. Step 3: Cross multiply
    413,687.86x = 570,888.93 × 234,839.86
  4. Step 4: Simplify right side
    413,687.86x = 134,067,476,396.75
  5. Step 5: Solve for x
    x = 134,067,476,396.75/413,687.86
  6. Step 6: Final answer
    x = 324,078.83

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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.