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Finding the Fourth Proportional to 411,496.69, 617,297.62 and 158,849.47

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Solution

The fourth proportional to 411,496.69, 617,297.62 and 158,849.47 is: 238,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,496.69 : 617,297.62 = 158,849.47 : x
  2. Step 2: Convert to fraction form
    411,496.69/617,297.62 = 158,849.47/x
  3. Step 3: Cross multiply
    411,496.69x = 617,297.62 × 158,849.47
  4. Step 4: Simplify right side
    411,496.69x = 98,057,399,769.26
  5. Step 5: Solve for x
    x = 98,057,399,769.26/411,496.69
  6. Step 6: Final answer
    x = 238,294.50

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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.