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Finding the Fourth Proportional to 375,747.94, 518,564.97 and 206,014.87

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Solution

The fourth proportional to 375,747.94, 518,564.97 and 206,014.87 is: 284,318.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,747.94 : 518,564.97 = 206,014.87 : x
  2. Step 2: Convert to fraction form
    375,747.94/518,564.97 = 206,014.87/x
  3. Step 3: Cross multiply
    375,747.94x = 518,564.97 × 206,014.87
  4. Step 4: Simplify right side
    375,747.94x = 106,832,095,529.31
  5. Step 5: Solve for x
    x = 106,832,095,529.31/375,747.94
  6. Step 6: Final answer
    x = 284,318.51

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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.