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Finding the Fourth Proportional to 466,286.20, 699,429.30 and 430,856.80

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Solution

The fourth proportional to 466,286.20, 699,429.30 and 430,856.80 is: 646,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,286.20 : 699,429.30 = 430,856.80 : x
  2. Step 2: Convert to fraction form
    466,286.20/699,429.30 = 430,856.80/x
  3. Step 3: Cross multiply
    466,286.20x = 699,429.30 × 430,856.80
  4. Step 4: Simplify right side
    466,286.20x = 301,353,870,024.24
  5. Step 5: Solve for x
    x = 301,353,870,024.24/466,286.20
  6. Step 6: Final answer
    x = 646,285.20

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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.