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Finding the Fourth Proportional to 274,218.47, 411,336.81 and 94,302.12

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Solution

The fourth proportional to 274,218.47, 411,336.81 and 94,302.12 is: 141,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,218.47 : 411,336.81 = 94,302.12 : x
  2. Step 2: Convert to fraction form
    274,218.47/411,336.81 = 94,302.12/x
  3. Step 3: Cross multiply
    274,218.47x = 411,336.81 × 94,302.12
  4. Step 4: Simplify right side
    274,218.47x = 38,789,933,217.04
  5. Step 5: Solve for x
    x = 38,789,933,217.04/274,218.47
  6. Step 6: Final answer
    x = 141,456.31

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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.