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Finding the Fourth Proportional to 412,339.09, 568,904.10 and 266,914.53

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Solution

The fourth proportional to 412,339.09, 568,904.10 and 266,914.53 is: 368,261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,339.09 : 568,904.10 = 266,914.53 : x
  2. Step 2: Convert to fraction form
    412,339.09/568,904.10 = 266,914.53/x
  3. Step 3: Cross multiply
    412,339.09x = 568,904.10 × 266,914.53
  4. Step 4: Simplify right side
    412,339.09x = 151,848,770,466.57
  5. Step 5: Solve for x
    x = 151,848,770,466.57/412,339.09
  6. Step 6: Final answer
    x = 368,261.88

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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.