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Finding the Fourth Proportional to 381,584.79, 572,428.44 and 201,757.34

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Solution

The fourth proportional to 381,584.79, 572,428.44 and 201,757.34 is: 302,663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,584.79 : 572,428.44 = 201,757.34 : x
  2. Step 2: Convert to fraction form
    381,584.79/572,428.44 = 201,757.34/x
  3. Step 3: Cross multiply
    381,584.79x = 572,428.44 × 201,757.34
  4. Step 4: Simplify right side
    381,584.79x = 115,491,640,825.82
  5. Step 5: Solve for x
    x = 115,491,640,825.82/381,584.79
  6. Step 6: Final answer
    x = 302,663.11

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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.