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Finding the Fourth Proportional to 391,900.86, 584,597.91 and 378,781.65

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Solution

The fourth proportional to 391,900.86, 584,597.91 and 378,781.65 is: 565,028.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,900.86 : 584,597.91 = 378,781.65 : x
  2. Step 2: Convert to fraction form
    391,900.86/584,597.91 = 378,781.65/x
  3. Step 3: Cross multiply
    391,900.86x = 584,597.91 × 378,781.65
  4. Step 4: Simplify right side
    391,900.86x = 221,434,960,936.35
  5. Step 5: Solve for x
    x = 221,434,960,936.35/391,900.86
  6. Step 6: Final answer
    x = 565,028.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.