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Finding the Fourth Proportional to 456,361.39, 684,396.52 and 156,769.73

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Solution

The fourth proportional to 456,361.39, 684,396.52 and 156,769.73 is: 235,104.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,361.39 : 684,396.52 = 156,769.73 : x
  2. Step 2: Convert to fraction form
    456,361.39/684,396.52 = 156,769.73/x
  3. Step 3: Cross multiply
    456,361.39x = 684,396.52 × 156,769.73
  4. Step 4: Simplify right side
    456,361.39x = 107,292,656,869.49
  5. Step 5: Solve for x
    x = 107,292,656,869.49/456,361.39
  6. Step 6: Final answer
    x = 235,104.59

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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.