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Finding the Fourth Proportional to 599,605.74, 827,540.32 and 381,744.83

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Solution

The fourth proportional to 599,605.74, 827,540.32 and 381,744.83 is: 526,861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,605.74 : 827,540.32 = 381,744.83 : x
  2. Step 2: Convert to fraction form
    599,605.74/827,540.32 = 381,744.83/x
  3. Step 3: Cross multiply
    599,605.74x = 827,540.32 × 381,744.83
  4. Step 4: Simplify right side
    599,605.74x = 315,909,238,776.55
  5. Step 5: Solve for x
    x = 315,909,238,776.55/599,605.74
  6. Step 6: Final answer
    x = 526,861.60

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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.