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Finding the Fourth Proportional to 377,622.16, 521,131.34 and 205,546.38

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Solution

The fourth proportional to 377,622.16, 521,131.34 and 205,546.38 is: 283,660.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,622.16 : 521,131.34 = 205,546.38 : x
  2. Step 2: Convert to fraction form
    377,622.16/521,131.34 = 205,546.38/x
  3. Step 3: Cross multiply
    377,622.16x = 521,131.34 × 205,546.38
  4. Step 4: Simplify right side
    377,622.16x = 107,116,660,441.55
  5. Step 5: Solve for x
    x = 107,116,660,441.55/377,622.16
  6. Step 6: Final answer
    x = 283,660.95

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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.