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Finding the Fourth Proportional to 466,334.28, 698,833.98 and 200,023.56

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Solution

The fourth proportional to 466,334.28, 698,833.98 and 200,023.56 is: 299,749.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,334.28 : 698,833.98 = 200,023.56 : x
  2. Step 2: Convert to fraction form
    466,334.28/698,833.98 = 200,023.56/x
  3. Step 3: Cross multiply
    466,334.28x = 698,833.98 × 200,023.56
  4. Step 4: Simplify right side
    466,334.28x = 139,783,260,528.57
  5. Step 5: Solve for x
    x = 139,783,260,528.57/466,334.28
  6. Step 6: Final answer
    x = 299,749.06

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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.