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Finding the Fourth Proportional to 456,793.62, 684,954.34 and 200,521.30

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Solution

The fourth proportional to 456,793.62, 684,954.34 and 200,521.30 is: 300,678.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,793.62 : 684,954.34 = 200,521.30 : x
  2. Step 2: Convert to fraction form
    456,793.62/684,954.34 = 200,521.30/x
  3. Step 3: Cross multiply
    456,793.62x = 684,954.34 × 200,521.30
  4. Step 4: Simplify right side
    456,793.62x = 137,347,934,697.44
  5. Step 5: Solve for x
    x = 137,347,934,697.44/456,793.62
  6. Step 6: Final answer
    x = 300,678.31

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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.