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Finding the Fourth Proportional to 571,952.82, 857,710.73 and 192,771.68

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Solution

The fourth proportional to 571,952.82, 857,710.73 and 192,771.68 is: 289,083.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,952.82 : 857,710.73 = 192,771.68 : x
  2. Step 2: Convert to fraction form
    571,952.82/857,710.73 = 192,771.68/x
  3. Step 3: Cross multiply
    571,952.82x = 857,710.73 × 192,771.68
  4. Step 4: Simplify right side
    571,952.82x = 165,342,334,569.50
  5. Step 5: Solve for x
    x = 165,342,334,569.50/571,952.82
  6. Step 6: Final answer
    x = 289,083.87

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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.