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Finding the Fourth Proportional to 458,552.40, 687,245.40 and 408,397.20

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Solution

The fourth proportional to 458,552.40, 687,245.40 and 408,397.20 is: 612,076.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,552.40 : 687,245.40 = 408,397.20 : x
  2. Step 2: Convert to fraction form
    458,552.40/687,245.40 = 408,397.20/x
  3. Step 3: Cross multiply
    458,552.40x = 687,245.40 × 408,397.20
  4. Step 4: Simplify right side
    458,552.40x = 280,669,097,072.88
  5. Step 5: Solve for x
    x = 280,669,097,072.88/458,552.40
  6. Step 6: Final answer
    x = 612,076.39

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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.