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Finding the Fourth Proportional to 427,257.10, 640,922.24 and 111,713.50

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Solution

The fourth proportional to 427,257.10, 640,922.24 and 111,713.50 is: 167,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,257.10 : 640,922.24 = 111,713.50 : x
  2. Step 2: Convert to fraction form
    427,257.10/640,922.24 = 111,713.50/x
  3. Step 3: Cross multiply
    427,257.10x = 640,922.24 × 111,713.50
  4. Step 4: Simplify right side
    427,257.10x = 71,599,666,658.24
  5. Step 5: Solve for x
    x = 71,599,666,658.24/427,257.10
  6. Step 6: Final answer
    x = 167,579.82

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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.