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Finding the Fourth Proportional to 314,785.33, 434,391.12 and 171,542.30

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Solution

The fourth proportional to 314,785.33, 434,391.12 and 171,542.30 is: 236,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,785.33 : 434,391.12 = 171,542.30 : x
  2. Step 2: Convert to fraction form
    314,785.33/434,391.12 = 171,542.30/x
  3. Step 3: Cross multiply
    314,785.33x = 434,391.12 × 171,542.30
  4. Step 4: Simplify right side
    314,785.33x = 74,516,449,652.42
  5. Step 5: Solve for x
    x = 74,516,449,652.42/314,785.33
  6. Step 6: Final answer
    x = 236,721.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.