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Finding the Fourth Proportional to 596,889.87, 823,713 and 324,959.66

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Solution

The fourth proportional to 596,889.87, 823,713 and 324,959.66 is: 448,447.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,889.87 : 823,713 = 324,959.66 : x
  2. Step 2: Convert to fraction form
    596,889.87/823,713 = 324,959.66/x
  3. Step 3: Cross multiply
    596,889.87x = 823,713 × 324,959.66
  4. Step 4: Simplify right side
    596,889.87x = 267,673,492,299.02
  5. Step 5: Solve for x
    x = 267,673,492,299.02/596,889.87
  6. Step 6: Final answer
    x = 448,447.03

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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.