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Finding the Fourth Proportional to 321,474.57, 482,238.16 and 161,468.24

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Solution

The fourth proportional to 321,474.57, 482,238.16 and 161,468.24 is: 242,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,474.57 : 482,238.16 = 161,468.24 : x
  2. Step 2: Convert to fraction form
    321,474.57/482,238.16 = 161,468.24/x
  3. Step 3: Cross multiply
    321,474.57x = 482,238.16 × 161,468.24
  4. Step 4: Simplify right side
    321,474.57x = 77,866,144,141.18
  5. Step 5: Solve for x
    x = 77,866,144,141.18/321,474.57
  6. Step 6: Final answer
    x = 242,215.56

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1.5x scale

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.