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Finding the Fourth Proportional to 296,083.61, 444,121.31 and 71,442.17

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Solution

The fourth proportional to 296,083.61, 444,121.31 and 71,442.17 is: 107,162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,083.61 : 444,121.31 = 71,442.17 : x
  2. Step 2: Convert to fraction form
    296,083.61/444,121.31 = 71,442.17/x
  3. Step 3: Cross multiply
    296,083.61x = 444,121.31 × 71,442.17
  4. Step 4: Simplify right side
    296,083.61x = 31,728,991,418.55
  5. Step 5: Solve for x
    x = 31,728,991,418.55/296,083.61
  6. Step 6: Final answer
    x = 107,162.27

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1.5x scale

Why These Related Problems?

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