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Finding the Fourth Proportional to 391,901.86, 584,599.40 and 378,782.65

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Solution

The fourth proportional to 391,901.86, 584,599.40 and 378,782.65 is: 565,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,901.86 : 584,599.40 = 378,782.65 : x
  2. Step 2: Convert to fraction form
    391,901.86/584,599.40 = 378,782.65/x
  3. Step 3: Cross multiply
    391,901.86x = 584,599.40 × 378,782.65
  4. Step 4: Simplify right side
    391,901.86x = 221,436,109,920.41
  5. Step 5: Solve for x
    x = 221,436,109,920.41/391,901.86
  6. Step 6: Final answer
    x = 565,029.49

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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.