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Finding the Fourth Proportional to 296,662.46, 444,996.47 and 72,024.86

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Solution

The fourth proportional to 296,662.46, 444,996.47 and 72,024.86 is: 108,037.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,662.46 : 444,996.47 = 72,024.86 : x
  2. Step 2: Convert to fraction form
    296,662.46/444,996.47 = 72,024.86/x
  3. Step 3: Cross multiply
    296,662.46x = 444,996.47 × 72,024.86
  4. Step 4: Simplify right side
    296,662.46x = 32,050,809,744.80
  5. Step 5: Solve for x
    x = 32,050,809,744.80/296,662.46
  6. Step 6: Final answer
    x = 108,037.97

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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.