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Finding the Fourth Proportional to 466,566.40, 699,331.20 and 200,281.60

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Solution

The fourth proportional to 466,566.40, 699,331.20 and 200,281.60 is: 300,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,566.40 : 699,331.20 = 200,281.60 : x
  2. Step 2: Convert to fraction form
    466,566.40/699,331.20 = 200,281.60/x
  3. Step 3: Cross multiply
    466,566.40x = 699,331.20 × 200,281.60
  4. Step 4: Simplify right side
    466,566.40x = 140,063,171,665.92
  5. Step 5: Solve for x
    x = 140,063,171,665.92/466,566.40
  6. Step 6: Final answer
    x = 300,199.87

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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.