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Finding the Fourth Proportional to 377,414.32, 520,835.90 and 205,333.27

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Solution

The fourth proportional to 377,414.32, 520,835.90 and 205,333.27 is: 283,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,414.32 : 520,835.90 = 205,333.27 : x
  2. Step 2: Convert to fraction form
    377,414.32/520,835.90 = 205,333.27/x
  3. Step 3: Cross multiply
    377,414.32x = 520,835.90 × 205,333.27
  4. Step 4: Simplify right side
    377,414.32x = 106,944,938,480.39
  5. Step 5: Solve for x
    x = 106,944,938,480.39/377,414.32
  6. Step 6: Final answer
    x = 283,362.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.