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Finding the Fourth Proportional to 314,351.79, 433,815.26 and 171,121.38

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Solution

The fourth proportional to 314,351.79, 433,815.26 and 171,121.38 is: 236,152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,351.79 : 433,815.26 = 171,121.38 : x
  2. Step 2: Convert to fraction form
    314,351.79/433,815.26 = 171,121.38/x
  3. Step 3: Cross multiply
    314,351.79x = 433,815.26 × 171,121.38
  4. Step 4: Simplify right side
    314,351.79x = 74,235,065,956.26
  5. Step 5: Solve for x
    x = 74,235,065,956.26/314,351.79
  6. Step 6: Final answer
    x = 236,152.83

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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.