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Finding the Fourth Proportional to 320,692.24, 480,896.16 and 170,904.61

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Solution

The fourth proportional to 320,692.24, 480,896.16 and 170,904.61 is: 256,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,692.24 : 480,896.16 = 170,904.61 : x
  2. Step 2: Convert to fraction form
    320,692.24/480,896.16 = 170,904.61/x
  3. Step 3: Cross multiply
    320,692.24x = 480,896.16 × 170,904.61
  4. Step 4: Simplify right side
    320,692.24x = 82,187,370,675.30
  5. Step 5: Solve for x
    x = 82,187,370,675.30/320,692.24
  6. Step 6: Final answer
    x = 256,281.13

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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.