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Finding the Fourth Proportional to 458,227.77, 687,844.46 and 364,063.24

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Solution

The fourth proportional to 458,227.77, 687,844.46 and 364,063.24 is: 546,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,227.77 : 687,844.46 = 364,063.24 : x
  2. Step 2: Convert to fraction form
    458,227.77/687,844.46 = 364,063.24/x
  3. Step 3: Cross multiply
    458,227.77x = 687,844.46 × 364,063.24
  4. Step 4: Simplify right side
    458,227.77x = 250,418,882,723.65
  5. Step 5: Solve for x
    x = 250,418,882,723.65/458,227.77
  6. Step 6: Final answer
    x = 546,494.34

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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.