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Finding the Fourth Proportional to 484,513.41, 726,234.90 and 200,047.13

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Solution

The fourth proportional to 484,513.41, 726,234.90 and 200,047.13 is: 299,849.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,513.41 : 726,234.90 = 200,047.13 : x
  2. Step 2: Convert to fraction form
    484,513.41/726,234.90 = 200,047.13/x
  3. Step 3: Cross multiply
    484,513.41x = 726,234.90 × 200,047.13
  4. Step 4: Simplify right side
    484,513.41x = 145,281,207,450.84
  5. Step 5: Solve for x
    x = 145,281,207,450.84/484,513.41
  6. Step 6: Final answer
    x = 299,849.71

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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.