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Finding the Fourth Proportional to 341,676.26, 512,624.01 and 164,196.14

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Solution

The fourth proportional to 341,676.26, 512,624.01 and 164,196.14 is: 246,346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,676.26 : 512,624.01 = 164,196.14 : x
  2. Step 2: Convert to fraction form
    341,676.26/512,624.01 = 164,196.14/x
  3. Step 3: Cross multiply
    341,676.26x = 512,624.01 × 164,196.14
  4. Step 4: Simplify right side
    341,676.26x = 84,170,883,713.32
  5. Step 5: Solve for x
    x = 84,170,883,713.32/341,676.26
  6. Step 6: Final answer
    x = 246,346.89

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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.