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Finding the Fourth Proportional to 458,570.40, 687,272.40 and 408,415.20

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Solution

The fourth proportional to 458,570.40, 687,272.40 and 408,415.20 is: 612,103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,570.40 : 687,272.40 = 408,415.20 : x
  2. Step 2: Convert to fraction form
    458,570.40/687,272.40 = 408,415.20/x
  3. Step 3: Cross multiply
    458,570.40x = 687,272.40 × 408,415.20
  4. Step 4: Simplify right side
    458,570.40x = 280,692,494,700.48
  5. Step 5: Solve for x
    x = 280,692,494,700.48/458,570.40
  6. Step 6: Final answer
    x = 612,103.39

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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.