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Finding the Fourth Proportional to 458,411.20, 687,616.80 and 419,012.80

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Solution

The fourth proportional to 458,411.20, 687,616.80 and 419,012.80 is: 628,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,411.20 : 687,616.80 = 419,012.80 : x
  2. Step 2: Convert to fraction form
    458,411.20/687,616.80 = 419,012.80/x
  3. Step 3: Cross multiply
    458,411.20x = 687,616.80 × 419,012.80
  4. Step 4: Simplify right side
    458,411.20x = 288,120,240,695.04
  5. Step 5: Solve for x
    x = 288,120,240,695.04/458,411.20
  6. Step 6: Final answer
    x = 628,519.20

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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.