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Finding the Fourth Proportional to 427,447.16, 589,874.92 and 233,851.37

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Solution

The fourth proportional to 427,447.16, 589,874.92 and 233,851.37 is: 322,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,447.16 : 589,874.92 = 233,851.37 : x
  2. Step 2: Convert to fraction form
    427,447.16/589,874.92 = 233,851.37/x
  3. Step 3: Cross multiply
    427,447.16x = 589,874.92 × 233,851.37
  4. Step 4: Simplify right side
    427,447.16x = 137,943,059,270.10
  5. Step 5: Solve for x
    x = 137,943,059,270.10/427,447.16
  6. Step 6: Final answer
    x = 322,713.71

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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.