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Finding the Fourth Proportional to 321,693.92, 482,376 and 169,972.48

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Solution

The fourth proportional to 321,693.92, 482,376 and 169,972.48 is: 254,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,693.92 : 482,376 = 169,972.48 : x
  2. Step 2: Convert to fraction form
    321,693.92/482,376 = 169,972.48/x
  3. Step 3: Cross multiply
    321,693.92x = 482,376 × 169,972.48
  4. Step 4: Simplify right side
    321,693.92x = 81,990,645,012.48
  5. Step 5: Solve for x
    x = 81,990,645,012.48/321,693.92
  6. Step 6: Final answer
    x = 254,871.60

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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.