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Finding the Fourth Proportional to 563,909.97, 845,914.69 and 159,105.72

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Solution

The fourth proportional to 563,909.97, 845,914.69 and 159,105.72 is: 238,672.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,909.97 : 845,914.69 = 159,105.72 : x
  2. Step 2: Convert to fraction form
    563,909.97/845,914.69 = 159,105.72/x
  3. Step 3: Cross multiply
    563,909.97x = 845,914.69 × 159,105.72
  4. Step 4: Simplify right side
    563,909.97x = 134,589,865,413.26
  5. Step 5: Solve for x
    x = 134,589,865,413.26/563,909.97
  6. Step 6: Final answer
    x = 238,672.61

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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.