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Finding the Fourth Proportional to 375,954.58, 518,850.12 and 206,221.50

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Solution

The fourth proportional to 375,954.58, 518,850.12 and 206,221.50 is: 284,603.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,954.58 : 518,850.12 = 206,221.50 : x
  2. Step 2: Convert to fraction form
    375,954.58/518,850.12 = 206,221.50/x
  3. Step 3: Cross multiply
    375,954.58x = 518,850.12 × 206,221.50
  4. Step 4: Simplify right side
    375,954.58x = 106,998,050,021.58
  5. Step 5: Solve for x
    x = 106,998,050,021.58/375,954.58
  6. Step 6: Final answer
    x = 284,603.66

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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.