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Finding the Fourth Proportional to 296,644.74, 445,124.01 and 161,806.20

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Solution

The fourth proportional to 296,644.74, 445,124.01 and 161,806.20 is: 242,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,644.74 : 445,124.01 = 161,806.20 : x
  2. Step 2: Convert to fraction form
    296,644.74/445,124.01 = 161,806.20/x
  3. Step 3: Cross multiply
    296,644.74x = 445,124.01 × 161,806.20
  4. Step 4: Simplify right side
    296,644.74x = 72,023,824,586.86
  5. Step 5: Solve for x
    x = 72,023,824,586.86/296,644.74
  6. Step 6: Final answer
    x = 242,794.88

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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.