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Finding the Fourth Proportional to 274,786.59, 411,643.26 and 189,382.17

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Solution

The fourth proportional to 274,786.59, 411,643.26 and 189,382.17 is: 283,703.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,786.59 : 411,643.26 = 189,382.17 : x
  2. Step 2: Convert to fraction form
    274,786.59/411,643.26 = 189,382.17/x
  3. Step 3: Cross multiply
    274,786.59x = 411,643.26 × 189,382.17
  4. Step 4: Simplify right side
    274,786.59x = 77,957,893,844.67
  5. Step 5: Solve for x
    x = 77,957,893,844.67/274,786.59
  6. Step 6: Final answer
    x = 283,703.41

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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.