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Finding the Fourth Proportional to 408,226.54, 612,352.06 and 337,699.84

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Solution

The fourth proportional to 408,226.54, 612,352.06 and 337,699.84 is: 506,559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,226.54 : 612,352.06 = 337,699.84 : x
  2. Step 2: Convert to fraction form
    408,226.54/612,352.06 = 337,699.84/x
  3. Step 3: Cross multiply
    408,226.54x = 612,352.06 × 337,699.84
  4. Step 4: Simplify right side
    408,226.54x = 206,791,192,685.67
  5. Step 5: Solve for x
    x = 206,791,192,685.67/408,226.54
  6. Step 6: Final answer
    x = 506,559.89

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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.