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Finding the Fourth Proportional to 341,693.20, 512,685.60 and 164,108.80

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Solution

The fourth proportional to 341,693.20, 512,685.60 and 164,108.80 is: 246,233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,693.20 : 512,685.60 = 164,108.80 : x
  2. Step 2: Convert to fraction form
    341,693.20/512,685.60 = 164,108.80/x
  3. Step 3: Cross multiply
    341,693.20x = 512,685.60 × 164,108.80
  4. Step 4: Simplify right side
    341,693.20x = 84,136,218,593.28
  5. Step 5: Solve for x
    x = 84,136,218,593.28/341,693.20
  6. Step 6: Final answer
    x = 246,233.22

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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.