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Finding the Fourth Proportional to 552,414.47, 762,324.46 and 310,696.98

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Solution

The fourth proportional to 552,414.47, 762,324.46 and 310,696.98 is: 428,757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,414.47 : 762,324.46 = 310,696.98 : x
  2. Step 2: Convert to fraction form
    552,414.47/762,324.46 = 310,696.98/x
  3. Step 3: Cross multiply
    552,414.47x = 762,324.46 × 310,696.98
  4. Step 4: Simplify right side
    552,414.47x = 236,851,907,502.13
  5. Step 5: Solve for x
    x = 236,851,907,502.13/552,414.47
  6. Step 6: Final answer
    x = 428,757.61

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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.