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Finding the Fourth Proportional to 469,754.49, 704,625.60 and 114,771.59

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Solution

The fourth proportional to 469,754.49, 704,625.60 and 114,771.59 is: 172,155.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,754.49 : 704,625.60 = 114,771.59 : x
  2. Step 2: Convert to fraction form
    469,754.49/704,625.60 = 114,771.59/x
  3. Step 3: Cross multiply
    469,754.49x = 704,625.60 × 114,771.59
  4. Step 4: Simplify right side
    469,754.49x = 80,870,999,370.73
  5. Step 5: Solve for x
    x = 80,870,999,370.73/469,754.49
  6. Step 6: Final answer
    x = 172,155.88

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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.