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Finding the Fourth Proportional to 378,211.32, 521,918.37 and 206,125.74

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Solution

The fourth proportional to 378,211.32, 521,918.37 and 206,125.74 is: 284,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,211.32 : 521,918.37 = 206,125.74 : x
  2. Step 2: Convert to fraction form
    378,211.32/521,918.37 = 206,125.74/x
  3. Step 3: Cross multiply
    378,211.32x = 521,918.37 × 206,125.74
  4. Step 4: Simplify right side
    378,211.32x = 107,580,810,235.84
  5. Step 5: Solve for x
    x = 107,580,810,235.84/378,211.32
  6. Step 6: Final answer
    x = 284,446.30

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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.