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Finding the Fourth Proportional to 245,934.30, 339,401.97 and 150,411

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Solution

The fourth proportional to 245,934.30, 339,401.97 and 150,411 is: 207,574.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,934.30 : 339,401.97 = 150,411 : x
  2. Step 2: Convert to fraction form
    245,934.30/339,401.97 = 150,411/x
  3. Step 3: Cross multiply
    245,934.30x = 339,401.97 × 150,411
  4. Step 4: Simplify right side
    245,934.30x = 51,049,789,709.67
  5. Step 5: Solve for x
    x = 51,049,789,709.67/245,934.30
  6. Step 6: Final answer
    x = 207,574.91

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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.