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Finding the Fourth Proportional to 341,456.20, 512,184.30 and 164,309.20

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Solution

The fourth proportional to 341,456.20, 512,184.30 and 164,309.20 is: 246,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,456.20 : 512,184.30 = 164,309.20 : x
  2. Step 2: Convert to fraction form
    341,456.20/512,184.30 = 164,309.20/x
  3. Step 3: Cross multiply
    341,456.20x = 512,184.30 × 164,309.20
  4. Step 4: Simplify right side
    341,456.20x = 84,156,592,585.56
  5. Step 5: Solve for x
    x = 84,156,592,585.56/341,456.20
  6. Step 6: Final answer
    x = 246,463.80

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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.