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Finding the Fourth Proportional to 411,543.82, 617,339.49 and 158,825.62

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Solution

The fourth proportional to 411,543.82, 617,339.49 and 158,825.62 is: 238,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,543.82 : 617,339.49 = 158,825.62 : x
  2. Step 2: Convert to fraction form
    411,543.82/617,339.49 = 158,825.62/x
  3. Step 3: Cross multiply
    411,543.82x = 617,339.49 × 158,825.62
  4. Step 4: Simplify right side
    411,543.82x = 98,049,327,249.73
  5. Step 5: Solve for x
    x = 98,049,327,249.73/411,543.82
  6. Step 6: Final answer
    x = 238,247.60

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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.