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Finding the Fourth Proportional to 451,647.78, 677,471.94 and 114,713.70

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Solution

The fourth proportional to 451,647.78, 677,471.94 and 114,713.70 is: 172,070.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,647.78 : 677,471.94 = 114,713.70 : x
  2. Step 2: Convert to fraction form
    451,647.78/677,471.94 = 114,713.70/x
  3. Step 3: Cross multiply
    451,647.78x = 677,471.94 × 114,713.70
  4. Step 4: Simplify right side
    451,647.78x = 77,715,312,883.58
  5. Step 5: Solve for x
    x = 77,715,312,883.58/451,647.78
  6. Step 6: Final answer
    x = 172,070.62

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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.