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Finding the Fourth Proportional to 411,542.82, 617,337.99 and 158,824.62

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Solution

The fourth proportional to 411,542.82, 617,337.99 and 158,824.62 is: 238,246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,542.82 : 617,337.99 = 158,824.62 : x
  2. Step 2: Convert to fraction form
    411,542.82/617,337.99 = 158,824.62/x
  3. Step 3: Cross multiply
    411,542.82x = 617,337.99 × 158,824.62
  4. Step 4: Simplify right side
    411,542.82x = 98,048,471,673.31
  5. Step 5: Solve for x
    x = 98,048,471,673.31/411,542.82
  6. Step 6: Final answer
    x = 238,246.10

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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.