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Finding the Fourth Proportional to 455,701.78, 683,086.10 and 189,616.78

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Solution

The fourth proportional to 455,701.78, 683,086.10 and 189,616.78 is: 284,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,701.78 : 683,086.10 = 189,616.78 : x
  2. Step 2: Convert to fraction form
    455,701.78/683,086.10 = 189,616.78/x
  3. Step 3: Cross multiply
    455,701.78x = 683,086.10 × 189,616.78
  4. Step 4: Simplify right side
    455,701.78x = 129,524,586,650.53
  5. Step 5: Solve for x
    x = 129,524,586,650.53/455,701.78
  6. Step 6: Final answer
    x = 284,231.03

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Why These Related Problems?

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