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Finding the Fourth Proportional to 411,626.98, 617,085.62 and 159,084.64

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Solution

The fourth proportional to 411,626.98, 617,085.62 and 159,084.64 is: 238,489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,626.98 : 617,085.62 = 159,084.64 : x
  2. Step 2: Convert to fraction form
    411,626.98/617,085.62 = 159,084.64/x
  3. Step 3: Cross multiply
    411,626.98x = 617,085.62 × 159,084.64
  4. Step 4: Simplify right side
    411,626.98x = 98,168,839,826.03
  5. Step 5: Solve for x
    x = 98,168,839,826.03/411,626.98
  6. Step 6: Final answer
    x = 238,489.81

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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.