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Finding the Fourth Proportional to 605,470.50, 835,575.24 and 337,198.50

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Solution

The fourth proportional to 605,470.50, 835,575.24 and 337,198.50 is: 465,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,470.50 : 835,575.24 = 337,198.50 : x
  2. Step 2: Convert to fraction form
    605,470.50/835,575.24 = 337,198.50/x
  3. Step 3: Cross multiply
    605,470.50x = 835,575.24 × 337,198.50
  4. Step 4: Simplify right side
    605,470.50x = 281,754,717,565.14
  5. Step 5: Solve for x
    x = 281,754,717,565.14/605,470.50
  6. Step 6: Final answer
    x = 465,348.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.