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Finding the Fourth Proportional to 340,394.14, 510,354.78 and 150,751.17

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Solution

The fourth proportional to 340,394.14, 510,354.78 and 150,751.17 is: 226,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,394.14 : 510,354.78 = 150,751.17 : x
  2. Step 2: Convert to fraction form
    340,394.14/510,354.78 = 150,751.17/x
  3. Step 3: Cross multiply
    340,394.14x = 510,354.78 × 150,751.17
  4. Step 4: Simplify right side
    340,394.14x = 76,936,579,634.78
  5. Step 5: Solve for x
    x = 76,936,579,634.78/340,394.14
  6. Step 6: Final answer
    x = 226,022.04

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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.