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Finding the Fourth Proportional to 599,674.90, 827,549.38 and 327,742.72

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Solution

The fourth proportional to 599,674.90, 827,549.38 and 327,742.72 is: 452,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,674.90 : 827,549.38 = 327,742.72 : x
  2. Step 2: Convert to fraction form
    599,674.90/827,549.38 = 327,742.72/x
  3. Step 3: Cross multiply
    599,674.90x = 827,549.38 × 327,742.72
  4. Step 4: Simplify right side
    599,674.90x = 271,223,284,124.84
  5. Step 5: Solve for x
    x = 271,223,284,124.84/599,674.90
  6. Step 6: Final answer
    x = 452,283.87

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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.