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Finding the Fourth Proportional to 413,729.44, 620,594.19 and 133,246.69

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Solution

The fourth proportional to 413,729.44, 620,594.19 and 133,246.69 is: 199,870.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,729.44 : 620,594.19 = 133,246.69 : x
  2. Step 2: Convert to fraction form
    413,729.44/620,594.19 = 133,246.69/x
  3. Step 3: Cross multiply
    413,729.44x = 620,594.19 × 133,246.69
  4. Step 4: Simplify right side
    413,729.44x = 82,692,120,099.25
  5. Step 5: Solve for x
    x = 82,692,120,099.25/413,729.44
  6. Step 6: Final answer
    x = 199,870.04

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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.