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Finding the Fourth Proportional to 408,475.20, 612,712.80 and 198,523.20

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Solution

The fourth proportional to 408,475.20, 612,712.80 and 198,523.20 is: 297,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,475.20 : 612,712.80 = 198,523.20 : x
  2. Step 2: Convert to fraction form
    408,475.20/612,712.80 = 198,523.20/x
  3. Step 3: Cross multiply
    408,475.20x = 612,712.80 × 198,523.20
  4. Step 4: Simplify right side
    408,475.20x = 121,637,705,736.96
  5. Step 5: Solve for x
    x = 121,637,705,736.96/408,475.20
  6. Step 6: Final answer
    x = 297,784.80

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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.