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Finding the Fourth Proportional to 605,728.50, 835,922.64 and 337,473.78

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Solution

The fourth proportional to 605,728.50, 835,922.64 and 337,473.78 is: 465,723.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,728.50 : 835,922.64 = 337,473.78 : x
  2. Step 2: Convert to fraction form
    605,728.50/835,922.64 = 337,473.78/x
  3. Step 3: Cross multiply
    605,728.50x = 835,922.64 × 337,473.78
  4. Step 4: Simplify right side
    605,728.50x = 282,101,973,108.38
  5. Step 5: Solve for x
    x = 282,101,973,108.38/605,728.50
  6. Step 6: Final answer
    x = 465,723.46

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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.