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Finding the Fourth Proportional to 587,716.88, 811,049.16 and 319,444.88

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Solution

The fourth proportional to 587,716.88, 811,049.16 and 319,444.88 is: 440,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,716.88 : 811,049.16 = 319,444.88 : x
  2. Step 2: Convert to fraction form
    587,716.88/811,049.16 = 319,444.88/x
  3. Step 3: Cross multiply
    587,716.88x = 811,049.16 × 319,444.88
  4. Step 4: Simplify right side
    587,716.88x = 259,085,501,590.30
  5. Step 5: Solve for x
    x = 259,085,501,590.30/587,716.88
  6. Step 6: Final answer
    x = 440,833.86

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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.