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Finding the Fourth Proportional to 252,049.84, 378,074.75 and 207,497.91

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Solution

The fourth proportional to 252,049.84, 378,074.75 and 207,497.91 is: 311,246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,049.84 : 378,074.75 = 207,497.91 : x
  2. Step 2: Convert to fraction form
    252,049.84/378,074.75 = 207,497.91/x
  3. Step 3: Cross multiply
    252,049.84x = 378,074.75 × 207,497.91
  4. Step 4: Simplify right side
    252,049.84x = 78,449,720,448.77
  5. Step 5: Solve for x
    x = 78,449,720,448.77/252,049.84
  6. Step 6: Final answer
    x = 311,246.86

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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.