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Finding the Fourth Proportional to 411,546.82, 617,344 and 158,828.62

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Solution

The fourth proportional to 411,546.82, 617,344 and 158,828.62 is: 238,252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,546.82 : 617,344 = 158,828.62 : x
  2. Step 2: Convert to fraction form
    411,546.82/617,344 = 158,828.62/x
  3. Step 3: Cross multiply
    411,546.82x = 617,344 × 158,828.62
  4. Step 4: Simplify right side
    411,546.82x = 98,051,895,585.28
  5. Step 5: Solve for x
    x = 98,051,895,585.28/411,546.82
  6. Step 6: Final answer
    x = 238,252.10

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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.