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Finding the Fourth Proportional to 357,372.36, 493,185.51 and 206,469.36

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Solution

The fourth proportional to 357,372.36, 493,185.51 and 206,469.36 is: 284,934.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,372.36 : 493,185.51 = 206,469.36 : x
  2. Step 2: Convert to fraction form
    357,372.36/493,185.51 = 206,469.36/x
  3. Step 3: Cross multiply
    357,372.36x = 493,185.51 × 206,469.36
  4. Step 4: Simplify right side
    357,372.36x = 101,827,696,610.97
  5. Step 5: Solve for x
    x = 101,827,696,610.97/357,372.36
  6. Step 6: Final answer
    x = 284,934.45

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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.