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Finding the Fourth Proportional to 329,610.10, 493,759.05 and 171,927.40

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Solution

The fourth proportional to 329,610.10, 493,759.05 and 171,927.40 is: 257,548.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,610.10 : 493,759.05 = 171,927.40 : x
  2. Step 2: Convert to fraction form
    329,610.10/493,759.05 = 171,927.40/x
  3. Step 3: Cross multiply
    329,610.10x = 493,759.05 × 171,927.40
  4. Step 4: Simplify right side
    329,610.10x = 84,890,709,692.97
  5. Step 5: Solve for x
    x = 84,890,709,692.97/329,610.10
  6. Step 6: Final answer
    x = 257,548.87

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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.