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Finding the Fourth Proportional to 377,431.14, 520,859.13 and 205,350.09

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Solution

The fourth proportional to 377,431.14, 520,859.13 and 205,350.09 is: 283,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,431.14 : 520,859.13 = 205,350.09 : x
  2. Step 2: Convert to fraction form
    377,431.14/520,859.13 = 205,350.09/x
  3. Step 3: Cross multiply
    377,431.14x = 520,859.13 × 205,350.09
  4. Step 4: Simplify right side
    377,431.14x = 106,958,466,499.54
  5. Step 5: Solve for x
    x = 106,958,466,499.54/377,431.14
  6. Step 6: Final answer
    x = 283,385.38

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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.