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Finding the Fourth Proportional to 458,329.20, 687,493.80 and 418,930.80

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Solution

The fourth proportional to 458,329.20, 687,493.80 and 418,930.80 is: 628,396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,329.20 : 687,493.80 = 418,930.80 : x
  2. Step 2: Convert to fraction form
    458,329.20/687,493.80 = 418,930.80/x
  3. Step 3: Cross multiply
    458,329.20x = 687,493.80 × 418,930.80
  4. Step 4: Simplify right side
    458,329.20x = 288,012,327,629.04
  5. Step 5: Solve for x
    x = 288,012,327,629.04/458,329.20
  6. Step 6: Final answer
    x = 628,396.20

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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.