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Finding the Fourth Proportional to 413,553.79, 620,413.71 and 188,853.88

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Solution

The fourth proportional to 413,553.79, 620,413.71 and 188,853.88 is: 283,318.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,553.79 : 620,413.71 = 188,853.88 : x
  2. Step 2: Convert to fraction form
    413,553.79/620,413.71 = 188,853.88/x
  3. Step 3: Cross multiply
    413,553.79x = 620,413.71 × 188,853.88
  4. Step 4: Simplify right side
    413,553.79x = 117,167,536,338.70
  5. Step 5: Solve for x
    x = 117,167,536,338.70/413,553.79
  6. Step 6: Final answer
    x = 283,318.73

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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.