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Finding the Fourth Proportional to 466,052, 699,194.64 and 133,628

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Solution

The fourth proportional to 466,052, 699,194.64 and 133,628 is: 200,475.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,052 : 699,194.64 = 133,628 : x
  2. Step 2: Convert to fraction form
    466,052/699,194.64 = 133,628/x
  3. Step 3: Cross multiply
    466,052x = 699,194.64 × 133,628
  4. Step 4: Simplify right side
    466,052x = 93,431,981,353.92
  5. Step 5: Solve for x
    x = 93,431,981,353.92/466,052
  6. Step 6: Final answer
    x = 200,475.44

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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.