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Finding the Fourth Proportional to 274,097.48, 411,353.94 and 116,436.56

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Solution

The fourth proportional to 274,097.48, 411,353.94 and 116,436.56 is: 174,743.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,097.48 : 411,353.94 = 116,436.56 : x
  2. Step 2: Convert to fraction form
    274,097.48/411,353.94 = 116,436.56/x
  3. Step 3: Cross multiply
    274,097.48x = 411,353.94 × 116,436.56
  4. Step 4: Simplify right side
    274,097.48x = 47,896,637,716.05
  5. Step 5: Solve for x
    x = 47,896,637,716.05/274,097.48
  6. Step 6: Final answer
    x = 174,743.08

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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.