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Finding the Fourth Proportional to 411,892.24, 617,719.07 and 123,692.26

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Solution

The fourth proportional to 411,892.24, 617,719.07 and 123,692.26 is: 185,502.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,892.24 : 617,719.07 = 123,692.26 : x
  2. Step 2: Convert to fraction form
    411,892.24/617,719.07 = 123,692.26/x
  3. Step 3: Cross multiply
    411,892.24x = 617,719.07 × 123,692.26
  4. Step 4: Simplify right side
    411,892.24x = 76,407,069,126.00
  5. Step 5: Solve for x
    x = 76,407,069,126.00/411,892.24
  6. Step 6: Final answer
    x = 185,502.57

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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.