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Finding the Fourth Proportional to 458,229.26, 687,846.70 and 364,064.74

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Solution

The fourth proportional to 458,229.26, 687,846.70 and 364,064.74 is: 546,496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,229.26 : 687,846.70 = 364,064.74 : x
  2. Step 2: Convert to fraction form
    458,229.26/687,846.70 = 364,064.74/x
  3. Step 3: Cross multiply
    458,229.26x = 687,846.70 × 364,064.74
  4. Step 4: Simplify right side
    458,229.26x = 250,420,729,995.36
  5. Step 5: Solve for x
    x = 250,420,729,995.36/458,229.26
  6. Step 6: Final answer
    x = 546,496.59

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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.