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Finding the Fourth Proportional to 458,464.20, 687,696.30 and 451,465.80

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Solution

The fourth proportional to 458,464.20, 687,696.30 and 451,465.80 is: 677,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,464.20 : 687,696.30 = 451,465.80 : x
  2. Step 2: Convert to fraction form
    458,464.20/687,696.30 = 451,465.80/x
  3. Step 3: Cross multiply
    458,464.20x = 687,696.30 × 451,465.80
  4. Step 4: Simplify right side
    458,464.20x = 310,471,360,236.54
  5. Step 5: Solve for x
    x = 310,471,360,236.54/458,464.20
  6. Step 6: Final answer
    x = 677,198.70

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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.