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Finding the Fourth Proportional to 411,863.31, 617,558.31 and 219,500.87

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Solution

The fourth proportional to 411,863.31, 617,558.31 and 219,500.87 is: 329,125.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,863.31 : 617,558.31 = 219,500.87 : x
  2. Step 2: Convert to fraction form
    411,863.31/617,558.31 = 219,500.87/x
  3. Step 3: Cross multiply
    411,863.31x = 617,558.31 × 219,500.87
  4. Step 4: Simplify right side
    411,863.31x = 135,554,583,232.94
  5. Step 5: Solve for x
    x = 135,554,583,232.94/411,863.31
  6. Step 6: Final answer
    x = 329,125.17

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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.