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Finding the Fourth Proportional to 466,632.70, 700,078.65 and 200,520.70

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Solution

The fourth proportional to 466,632.70, 700,078.65 and 200,520.70 is: 300,836.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,632.70 : 700,078.65 = 200,520.70 : x
  2. Step 2: Convert to fraction form
    466,632.70/700,078.65 = 200,520.70/x
  3. Step 3: Cross multiply
    466,632.70x = 700,078.65 × 200,520.70
  4. Step 4: Simplify right side
    466,632.70x = 140,380,260,953.06
  5. Step 5: Solve for x
    x = 140,380,260,953.06/466,632.70
  6. Step 6: Final answer
    x = 300,836.74

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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.