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Finding the Fourth Proportional to 419,132.25, 578,314.96 and 274,150.49

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Solution

The fourth proportional to 419,132.25, 578,314.96 and 274,150.49 is: 378,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,132.25 : 578,314.96 = 274,150.49 : x
  2. Step 2: Convert to fraction form
    419,132.25/578,314.96 = 274,150.49/x
  3. Step 3: Cross multiply
    419,132.25x = 578,314.96 × 274,150.49
  4. Step 4: Simplify right side
    419,132.25x = 158,545,326,081.38
  5. Step 5: Solve for x
    x = 158,545,326,081.38/419,132.25
  6. Step 6: Final answer
    x = 378,270.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.