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Finding the Fourth Proportional to 699,120.86, 964,759.01 and 412,733.21

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Solution

The fourth proportional to 699,120.86, 964,759.01 and 412,733.21 is: 569,555.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,120.86 : 964,759.01 = 412,733.21 : x
  2. Step 2: Convert to fraction form
    699,120.86/964,759.01 = 412,733.21/x
  3. Step 3: Cross multiply
    699,120.86x = 964,759.01 × 412,733.21
  4. Step 4: Simplify right side
    699,120.86x = 398,188,076,186.26
  5. Step 5: Solve for x
    x = 398,188,076,186.26/699,120.86
  6. Step 6: Final answer
    x = 569,555.43

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