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Finding the Fourth Proportional to 469,910.40, 704,865.60 and 114,927.90

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Solution

The fourth proportional to 469,910.40, 704,865.60 and 114,927.90 is: 172,391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,910.40 : 704,865.60 = 114,927.90 : x
  2. Step 2: Convert to fraction form
    469,910.40/704,865.60 = 114,927.90/x
  3. Step 3: Cross multiply
    469,910.40x = 704,865.60 × 114,927.90
  4. Step 4: Simplify right side
    469,910.40x = 81,008,723,190.24
  5. Step 5: Solve for x
    x = 81,008,723,190.24/469,910.40
  6. Step 6: Final answer
    x = 172,391.85

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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.