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Finding the Fourth Proportional to 856,444.42, 1,284,687.42 and 287,833.78

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Solution

The fourth proportional to 856,444.42, 1,284,687.42 and 287,833.78 is: 431,757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,444.42 : 1,284,687.42 = 287,833.78 : x
  2. Step 2: Convert to fraction form
    856,444.42/1,284,687.42 = 287,833.78/x
  3. Step 3: Cross multiply
    856,444.42x = 1,284,687.42 × 287,833.78
  4. Step 4: Simplify right side
    856,444.42x = 369,776,436,217.05
  5. Step 5: Solve for x
    x = 369,776,436,217.05/856,444.42
  6. Step 6: Final answer
    x = 431,757.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.