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Finding the Fourth Proportional to 458,229.78, 687,847.46 and 364,065.24

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Solution

The fourth proportional to 458,229.78, 687,847.46 and 364,065.24 is: 546,497.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,229.78 : 687,847.46 = 364,065.24 : x
  2. Step 2: Convert to fraction form
    458,229.78/687,847.46 = 364,065.24/x
  3. Step 3: Cross multiply
    458,229.78x = 687,847.46 × 364,065.24
  4. Step 4: Simplify right side
    458,229.78x = 250,421,350,608.29
  5. Step 5: Solve for x
    x = 250,421,350,608.29/458,229.78
  6. Step 6: Final answer
    x = 546,497.33

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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.