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Finding the Fourth Proportional to 314,464.46, 433,961.50 and 171,225.12

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Solution

The fourth proportional to 314,464.46, 433,961.50 and 171,225.12 is: 236,290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,464.46 : 433,961.50 = 171,225.12 : x
  2. Step 2: Convert to fraction form
    314,464.46/433,961.50 = 171,225.12/x
  3. Step 3: Cross multiply
    314,464.46x = 433,961.50 × 171,225.12
  4. Step 4: Simplify right side
    314,464.46x = 74,305,109,912.88
  5. Step 5: Solve for x
    x = 74,305,109,912.88/314,464.46
  6. Step 6: Final answer
    x = 236,290.96

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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.