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Finding the Fourth Proportional to 412,132.91, 617,134.71 and 284,443.32

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Solution

The fourth proportional to 412,132.91, 617,134.71 and 284,443.32 is: 425,930.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,132.91 : 617,134.71 = 284,443.32 : x
  2. Step 2: Convert to fraction form
    412,132.91/617,134.71 = 284,443.32/x
  3. Step 3: Cross multiply
    412,132.91x = 617,134.71 × 284,443.32
  4. Step 4: Simplify right side
    412,132.91x = 175,539,846,644.87
  5. Step 5: Solve for x
    x = 175,539,846,644.87/412,132.91
  6. Step 6: Final answer
    x = 425,930.18

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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.