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Finding the Fourth Proportional to 291,264.20, 436,958.70 and 164,964.14

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Solution

The fourth proportional to 291,264.20, 436,958.70 and 164,964.14 is: 247,481.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,264.20 : 436,958.70 = 164,964.14 : x
  2. Step 2: Convert to fraction form
    291,264.20/436,958.70 = 164,964.14/x
  3. Step 3: Cross multiply
    291,264.20x = 436,958.70 × 164,964.14
  4. Step 4: Simplify right side
    291,264.20x = 72,082,516,161.02
  5. Step 5: Solve for x
    x = 72,082,516,161.02/291,264.20
  6. Step 6: Final answer
    x = 247,481.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.