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Finding the Fourth Proportional to 296,414.94, 444,623.52 and 71,775

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Solution

The fourth proportional to 296,414.94, 444,623.52 and 71,775 is: 107,662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,414.94 : 444,623.52 = 71,775 : x
  2. Step 2: Convert to fraction form
    296,414.94/444,623.52 = 71,775/x
  3. Step 3: Cross multiply
    296,414.94x = 444,623.52 × 71,775
  4. Step 4: Simplify right side
    296,414.94x = 31,912,853,148
  5. Step 5: Solve for x
    x = 31,912,853,148/296,414.94
  6. Step 6: Final answer
    x = 107,662.77

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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.