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Finding the Fourth Proportional to 377,198.49, 520,518.06 and 213,865.98

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Solution

The fourth proportional to 377,198.49, 520,518.06 and 213,865.98 is: 295,126.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,198.49 : 520,518.06 = 213,865.98 : x
  2. Step 2: Convert to fraction form
    377,198.49/520,518.06 = 213,865.98/x
  3. Step 3: Cross multiply
    377,198.49x = 520,518.06 × 213,865.98
  4. Step 4: Simplify right side
    377,198.49x = 111,321,105,009.60
  5. Step 5: Solve for x
    x = 111,321,105,009.60/377,198.49
  6. Step 6: Final answer
    x = 295,126.06

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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.