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Finding the Fourth Proportional to 458,661.40, 687,408.90 and 408,506.20

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Solution

The fourth proportional to 458,661.40, 687,408.90 and 408,506.20 is: 612,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,661.40 : 687,408.90 = 408,506.20 : x
  2. Step 2: Convert to fraction form
    458,661.40/687,408.90 = 408,506.20/x
  3. Step 3: Cross multiply
    458,661.40x = 687,408.90 × 408,506.20
  4. Step 4: Simplify right side
    458,661.40x = 280,810,797,585.18
  5. Step 5: Solve for x
    x = 280,810,797,585.18/458,661.40
  6. Step 6: Final answer
    x = 612,239.87

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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.