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Finding the Fourth Proportional to 412,181.29, 618,284.12 and 351,829.26

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Solution

The fourth proportional to 412,181.29, 618,284.12 and 351,829.26 is: 527,754.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,181.29 : 618,284.12 = 351,829.26 : x
  2. Step 2: Convert to fraction form
    412,181.29/618,284.12 = 351,829.26/x
  3. Step 3: Cross multiply
    412,181.29x = 618,284.12 × 351,829.26
  4. Step 4: Simplify right side
    412,181.29x = 217,530,444,409.35
  5. Step 5: Solve for x
    x = 217,530,444,409.35/412,181.29
  6. Step 6: Final answer
    x = 527,754.29

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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.