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Finding the Fourth Proportional to 571,204, 856,849.12 and 192,125.84

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Solution

The fourth proportional to 571,204, 856,849.12 and 192,125.84 is: 288,203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,204 : 856,849.12 = 192,125.84 : x
  2. Step 2: Convert to fraction form
    571,204/856,849.12 = 192,125.84/x
  3. Step 3: Cross multiply
    571,204x = 856,849.12 × 192,125.84
  4. Step 4: Simplify right side
    571,204x = 164,622,856,933.26
  5. Step 5: Solve for x
    x = 164,622,856,933.26/571,204
  6. Step 6: Final answer
    x = 288,203.26

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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.