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Finding the Fourth Proportional to 296,442.30, 409,326.24 and 273,772.98

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Solution

The fourth proportional to 296,442.30, 409,326.24 and 273,772.98 is: 378,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,442.30 : 409,326.24 = 273,772.98 : x
  2. Step 2: Convert to fraction form
    296,442.30/409,326.24 = 273,772.98/x
  3. Step 3: Cross multiply
    296,442.30x = 409,326.24 × 273,772.98
  4. Step 4: Simplify right side
    296,442.30x = 112,062,464,517.00
  5. Step 5: Solve for x
    x = 112,062,464,517.00/296,442.30
  6. Step 6: Final answer
    x = 378,024.54

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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.