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Finding the Fourth Proportional to 412,018.14, 617,930.40 and 232,181.94

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Solution

The fourth proportional to 412,018.14, 617,930.40 and 232,181.94 is: 348,218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,018.14 : 617,930.40 = 232,181.94 : x
  2. Step 2: Convert to fraction form
    412,018.14/617,930.40 = 232,181.94/x
  3. Step 3: Cross multiply
    412,018.14x = 617,930.40 × 232,181.94
  4. Step 4: Simplify right side
    412,018.14x = 143,472,279,056.98
  5. Step 5: Solve for x
    x = 143,472,279,056.98/412,018.14
  6. Step 6: Final answer
    x = 348,218.36

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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.