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Finding the Fourth Proportional to 411,722.87, 617,156.13 and 159,176.82

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Solution

The fourth proportional to 411,722.87, 617,156.13 and 159,176.82 is: 238,599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,722.87 : 617,156.13 = 159,176.82 : x
  2. Step 2: Convert to fraction form
    411,722.87/617,156.13 = 159,176.82/x
  3. Step 3: Cross multiply
    411,722.87x = 617,156.13 × 159,176.82
  4. Step 4: Simplify right side
    411,722.87x = 98,236,948,499.48
  5. Step 5: Solve for x
    x = 98,236,948,499.48/411,722.87
  6. Step 6: Final answer
    x = 238,599.69

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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.