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Finding the Fourth Proportional to 408,510.48, 612,782.20 and 142,297.92

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Solution

The fourth proportional to 408,510.48, 612,782.20 and 142,297.92 is: 213,452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,510.48 : 612,782.20 = 142,297.92 : x
  2. Step 2: Convert to fraction form
    408,510.48/612,782.20 = 142,297.92/x
  3. Step 3: Cross multiply
    408,510.48x = 612,782.20 × 142,297.92
  4. Step 4: Simplify right side
    408,510.48x = 87,197,632,473.02
  5. Step 5: Solve for x
    x = 87,197,632,473.02/408,510.48
  6. Step 6: Final answer
    x = 213,452.62

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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.