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Finding the Fourth Proportional to 296,933, 444,283.50 and 208,359.32

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Solution

The fourth proportional to 296,933, 444,283.50 and 208,359.32 is: 311,755.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,933 : 444,283.50 = 208,359.32 : x
  2. Step 2: Convert to fraction form
    296,933/444,283.50 = 208,359.32/x
  3. Step 3: Cross multiply
    296,933x = 444,283.50 × 208,359.32
  4. Step 4: Simplify right side
    296,933x = 92,570,607,947.22
  5. Step 5: Solve for x
    x = 92,570,607,947.22/296,933
  6. Step 6: Final answer
    x = 311,755.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.