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Finding the Fourth Proportional to 334,238.55, 500,585.49 and 200,824.71

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Solution

The fourth proportional to 334,238.55, 500,585.49 and 200,824.71 is: 300,773.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,238.55 : 500,585.49 = 200,824.71 : x
  2. Step 2: Convert to fraction form
    334,238.55/500,585.49 = 200,824.71/x
  3. Step 3: Cross multiply
    334,238.55x = 500,585.49 × 200,824.71
  4. Step 4: Simplify right side
    334,238.55x = 100,529,935,859.46
  5. Step 5: Solve for x
    x = 100,529,935,859.46/334,238.55
  6. Step 6: Final answer
    x = 300,773.01

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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.