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Finding the Fourth Proportional to 341,644.20, 512,612.10 and 164,059.80

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Solution

The fourth proportional to 341,644.20, 512,612.10 and 164,059.80 is: 246,159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,644.20 : 512,612.10 = 164,059.80 : x
  2. Step 2: Convert to fraction form
    341,644.20/512,612.10 = 164,059.80/x
  3. Step 3: Cross multiply
    341,644.20x = 512,612.10 × 164,059.80
  4. Step 4: Simplify right side
    341,644.20x = 84,099,038,603.58
  5. Step 5: Solve for x
    x = 84,099,038,603.58/341,644.20
  6. Step 6: Final answer
    x = 246,159.71

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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.