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Finding the Fourth Proportional to 381,385.60, 571,568.88 and 201,103.36

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Solution

The fourth proportional to 381,385.60, 571,568.88 and 201,103.36 is: 301,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,385.60 : 571,568.88 = 201,103.36 : x
  2. Step 2: Convert to fraction form
    381,385.60/571,568.88 = 201,103.36/x
  3. Step 3: Cross multiply
    381,385.60x = 571,568.88 × 201,103.36
  4. Step 4: Simplify right side
    381,385.60x = 114,944,422,239.44
  5. Step 5: Solve for x
    x = 114,944,422,239.44/381,385.60
  6. Step 6: Final answer
    x = 301,386.37

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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.