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Finding the Fourth Proportional to 397,589.84, 596,514.36 and 187,249.04

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Solution

The fourth proportional to 397,589.84, 596,514.36 and 187,249.04 is: 280,934.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,589.84 : 596,514.36 = 187,249.04 : x
  2. Step 2: Convert to fraction form
    397,589.84/596,514.36 = 187,249.04/x
  3. Step 3: Cross multiply
    397,589.84x = 596,514.36 × 187,249.04
  4. Step 4: Simplify right side
    397,589.84x = 111,696,741,256.21
  5. Step 5: Solve for x
    x = 111,696,741,256.21/397,589.84
  6. Step 6: Final answer
    x = 280,934.60

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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.