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Finding the Fourth Proportional to 357,578.82, 493,502.49 and 206,675.82

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Solution

The fourth proportional to 357,578.82, 493,502.49 and 206,675.82 is: 285,237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,578.82 : 493,502.49 = 206,675.82 : x
  2. Step 2: Convert to fraction form
    357,578.82/493,502.49 = 206,675.82/x
  3. Step 3: Cross multiply
    357,578.82x = 493,502.49 × 206,675.82
  4. Step 4: Simplify right side
    357,578.82x = 101,995,031,792.79
  5. Step 5: Solve for x
    x = 101,995,031,792.79/357,578.82
  6. Step 6: Final answer
    x = 285,237.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.