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Finding the Fourth Proportional to 314,445.38, 433,942.31 and 171,213.21

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Solution

The fourth proportional to 314,445.38, 433,942.31 and 171,213.21 is: 236,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,445.38 : 433,942.31 = 171,213.21 : x
  2. Step 2: Convert to fraction form
    314,445.38/433,942.31 = 171,213.21/x
  3. Step 3: Cross multiply
    314,445.38x = 433,942.31 × 171,213.21
  4. Step 4: Simplify right side
    314,445.38x = 74,296,656,277.95
  5. Step 5: Solve for x
    x = 74,296,656,277.95/314,445.38
  6. Step 6: Final answer
    x = 236,278.42

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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.