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Finding the Fourth Proportional to 341,612.20, 512,564.10 and 164,027.80

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Solution

The fourth proportional to 341,612.20, 512,564.10 and 164,027.80 is: 246,111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,612.20 : 512,564.10 = 164,027.80 : x
  2. Step 2: Convert to fraction form
    341,612.20/512,564.10 = 164,027.80/x
  3. Step 3: Cross multiply
    341,612.20x = 512,564.10 × 164,027.80
  4. Step 4: Simplify right side
    341,612.20x = 84,074,761,681.98
  5. Step 5: Solve for x
    x = 84,074,761,681.98/341,612.20
  6. Step 6: Final answer
    x = 246,111.71

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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.