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Finding the Fourth Proportional to 552,786.56, 827,851.10 and 315,409.58

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Solution

The fourth proportional to 552,786.56, 827,851.10 and 315,409.58 is: 472,356.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,786.56 : 827,851.10 = 315,409.58 : x
  2. Step 2: Convert to fraction form
    552,786.56/827,851.10 = 315,409.58/x
  3. Step 3: Cross multiply
    552,786.56x = 827,851.10 × 315,409.58
  4. Step 4: Simplify right side
    552,786.56x = 261,112,167,753.54
  5. Step 5: Solve for x
    x = 261,112,167,753.54/552,786.56
  6. Step 6: Final answer
    x = 472,356.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.