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Finding the Fourth Proportional to 314,466.92, 433,958.73 and 171,224.36

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Solution

The fourth proportional to 314,466.92, 433,958.73 and 171,224.36 is: 236,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,466.92 : 433,958.73 = 171,224.36 : x
  2. Step 2: Convert to fraction form
    314,466.92/433,958.73 = 171,224.36/x
  3. Step 3: Cross multiply
    314,466.92x = 433,958.73 × 171,224.36
  4. Step 4: Simplify right side
    314,466.92x = 74,304,305,810.66
  5. Step 5: Solve for x
    x = 74,304,305,810.66/314,466.92
  6. Step 6: Final answer
    x = 236,286.56

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1.5x scale

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.