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Finding the Fourth Proportional to 341,489.44, 512,064.69 and 116,786.17

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Solution

The fourth proportional to 341,489.44, 512,064.69 and 116,786.17 is: 175,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,489.44 : 512,064.69 = 116,786.17 : x
  2. Step 2: Convert to fraction form
    341,489.44/512,064.69 = 116,786.17/x
  3. Step 3: Cross multiply
    341,489.44x = 512,064.69 × 116,786.17
  4. Step 4: Simplify right side
    341,489.44x = 59,802,073,937.34
  5. Step 5: Solve for x
    x = 59,802,073,937.34/341,489.44
  6. Step 6: Final answer
    x = 175,121.30

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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.