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Finding the Fourth Proportional to 361,849.53, 499,412.15 and 200,756.46

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Solution

The fourth proportional to 361,849.53, 499,412.15 and 200,756.46 is: 277,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,849.53 : 499,412.15 = 200,756.46 : x
  2. Step 2: Convert to fraction form
    361,849.53/499,412.15 = 200,756.46/x
  3. Step 3: Cross multiply
    361,849.53x = 499,412.15 × 200,756.46
  4. Step 4: Simplify right side
    361,849.53x = 100,260,215,314.99
  5. Step 5: Solve for x
    x = 100,260,215,314.99/361,849.53
  6. Step 6: Final answer
    x = 277,077.09

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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.