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Finding the Fourth Proportional to 341,717.20, 512,721.60 and 164,132.80

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Solution

The fourth proportional to 341,717.20, 512,721.60 and 164,132.80 is: 246,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,717.20 : 512,721.60 = 164,132.80 : x
  2. Step 2: Convert to fraction form
    341,717.20/512,721.60 = 164,132.80/x
  3. Step 3: Cross multiply
    341,717.20x = 512,721.60 × 164,132.80
  4. Step 4: Simplify right side
    341,717.20x = 84,154,431,828.48
  5. Step 5: Solve for x
    x = 84,154,431,828.48/341,717.20
  6. Step 6: Final answer
    x = 246,269.23

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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.