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Finding the Fourth Proportional to 411,770.66, 617,637.81 and 112,251.26

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Solution

The fourth proportional to 411,770.66, 617,637.81 and 112,251.26 is: 168,371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,770.66 : 617,637.81 = 112,251.26 : x
  2. Step 2: Convert to fraction form
    411,770.66/617,637.81 = 112,251.26/x
  3. Step 3: Cross multiply
    411,770.66x = 617,637.81 × 112,251.26
  4. Step 4: Simplify right side
    411,770.66x = 69,330,622,396.14
  5. Step 5: Solve for x
    x = 69,330,622,396.14/411,770.66
  6. Step 6: Final answer
    x = 168,371.93

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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.