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Finding the Fourth Proportional to 408,512.49, 612,785.22 and 142,299.93

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Solution

The fourth proportional to 408,512.49, 612,785.22 and 142,299.93 is: 213,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,512.49 : 612,785.22 = 142,299.93 : x
  2. Step 2: Convert to fraction form
    408,512.49/612,785.22 = 142,299.93/x
  3. Step 3: Cross multiply
    408,512.49x = 612,785.22 × 142,299.93
  4. Step 4: Simplify right side
    408,512.49x = 87,199,293,911.03
  5. Step 5: Solve for x
    x = 87,199,293,911.03/408,512.49
  6. Step 6: Final answer
    x = 213,455.64

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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.