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Finding the Fourth Proportional to 511,249.19, 705,491.74 and 281,793.84

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Solution

The fourth proportional to 511,249.19, 705,491.74 and 281,793.84 is: 388,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,249.19 : 705,491.74 = 281,793.84 : x
  2. Step 2: Convert to fraction form
    511,249.19/705,491.74 = 281,793.84/x
  3. Step 3: Cross multiply
    511,249.19x = 705,491.74 × 281,793.84
  4. Step 4: Simplify right side
    511,249.19x = 198,803,224,209.53
  5. Step 5: Solve for x
    x = 198,803,224,209.53/511,249.19
  6. Step 6: Final answer
    x = 388,857.78

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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.