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Finding the Fourth Proportional to 494,376.80, 741,558 and 157,413.56

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Solution

The fourth proportional to 494,376.80, 741,558 and 157,413.56 is: 236,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,376.80 : 741,558 = 157,413.56 : x
  2. Step 2: Convert to fraction form
    494,376.80/741,558 = 157,413.56/x
  3. Step 3: Cross multiply
    494,376.80x = 741,558 × 157,413.56
  4. Step 4: Simplify right side
    494,376.80x = 116,731,284,726.48
  5. Step 5: Solve for x
    x = 116,731,284,726.48/494,376.80
  6. Step 6: Final answer
    x = 236,118.05

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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.