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Finding the Fourth Proportional to 375,858.12, 518,689.26 and 206,091.84

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Solution

The fourth proportional to 375,858.12, 518,689.26 and 206,091.84 is: 284,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,858.12 : 518,689.26 = 206,091.84 : x
  2. Step 2: Convert to fraction form
    375,858.12/518,689.26 = 206,091.84/x
  3. Step 3: Cross multiply
    375,858.12x = 518,689.26 × 206,091.84
  4. Step 4: Simplify right side
    375,858.12x = 106,897,623,981.64
  5. Step 5: Solve for x
    x = 106,897,623,981.64/375,858.12
  6. Step 6: Final answer
    x = 284,409.51

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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.