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Finding the Fourth Proportional to 408,035.20, 612,052.80 and 186,851.20

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Solution

The fourth proportional to 408,035.20, 612,052.80 and 186,851.20 is: 280,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,035.20 : 612,052.80 = 186,851.20 : x
  2. Step 2: Convert to fraction form
    408,035.20/612,052.80 = 186,851.20/x
  3. Step 3: Cross multiply
    408,035.20x = 612,052.80 × 186,851.20
  4. Step 4: Simplify right side
    408,035.20x = 114,362,800,143.36
  5. Step 5: Solve for x
    x = 114,362,800,143.36/408,035.20
  6. Step 6: Final answer
    x = 280,276.80

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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.