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Finding the Fourth Proportional to 411,628.73, 617,088.24 and 159,086.39

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Solution

The fourth proportional to 411,628.73, 617,088.24 and 159,086.39 is: 238,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,628.73 : 617,088.24 = 159,086.39 : x
  2. Step 2: Convert to fraction form
    411,628.73/617,088.24 = 159,086.39/x
  3. Step 3: Cross multiply
    411,628.73x = 617,088.24 × 159,086.39
  4. Step 4: Simplify right side
    411,628.73x = 98,170,337,327.61
  5. Step 5: Solve for x
    x = 98,170,337,327.61/411,628.73
  6. Step 6: Final answer
    x = 238,492.44

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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.