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Finding the Fourth Proportional to 285,145.36, 427,761.24 and 206,850.40

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Solution

The fourth proportional to 285,145.36, 427,761.24 and 206,850.40 is: 310,306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,145.36 : 427,761.24 = 206,850.40 : x
  2. Step 2: Convert to fraction form
    285,145.36/427,761.24 = 206,850.40/x
  3. Step 3: Cross multiply
    285,145.36x = 427,761.24 × 206,850.40
  4. Step 4: Simplify right side
    285,145.36x = 88,482,583,598.50
  5. Step 5: Solve for x
    x = 88,482,583,598.50/285,145.36
  6. Step 6: Final answer
    x = 310,306.94

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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.