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Finding the Fourth Proportional to 599,578.20, 827,502.31 and 381,717.28

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Solution

The fourth proportional to 599,578.20, 827,502.31 and 381,717.28 is: 526,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,578.20 : 827,502.31 = 381,717.28 : x
  2. Step 2: Convert to fraction form
    599,578.20/827,502.31 = 381,717.28/x
  3. Step 3: Cross multiply
    599,578.20x = 827,502.31 × 381,717.28
  4. Step 4: Simplify right side
    599,578.20x = 315,871,930,331.28
  5. Step 5: Solve for x
    x = 315,871,930,331.28/599,578.20
  6. Step 6: Final answer
    x = 526,823.57

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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.