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Finding the Fourth Proportional to 314,466.93, 433,965.38 and 171,227.84

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Solution

The fourth proportional to 314,466.93, 433,965.38 and 171,227.84 is: 236,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,466.93 : 433,965.38 = 171,227.84 : x
  2. Step 2: Convert to fraction form
    314,466.93/433,965.38 = 171,227.84/x
  3. Step 3: Cross multiply
    314,466.93x = 433,965.38 × 171,227.84
  4. Step 4: Simplify right side
    314,466.93x = 74,306,951,626.21
  5. Step 5: Solve for x
    x = 74,306,951,626.21/314,466.93
  6. Step 6: Final answer
    x = 236,294.96

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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.