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Finding the Fourth Proportional to 377,104.75, 520,414.41 and 205,034.29

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Solution

The fourth proportional to 377,104.75, 520,414.41 and 205,034.29 is: 282,952.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,104.75 : 520,414.41 = 205,034.29 : x
  2. Step 2: Convert to fraction form
    377,104.75/520,414.41 = 205,034.29/x
  3. Step 3: Cross multiply
    377,104.75x = 520,414.41 × 205,034.29
  4. Step 4: Simplify right side
    377,104.75x = 106,702,799,060.12
  5. Step 5: Solve for x
    x = 106,702,799,060.12/377,104.75
  6. Step 6: Final answer
    x = 282,952.68

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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.