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Finding the Fourth Proportional to 533,414.19, 800,200.86 and 196,428.96

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Solution

The fourth proportional to 533,414.19, 800,200.86 and 196,428.96 is: 294,672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,414.19 : 800,200.86 = 196,428.96 : x
  2. Step 2: Convert to fraction form
    533,414.19/800,200.86 = 196,428.96/x
  3. Step 3: Cross multiply
    533,414.19x = 800,200.86 × 196,428.96
  4. Step 4: Simplify right side
    533,414.19x = 157,182,622,720.91
  5. Step 5: Solve for x
    x = 157,182,622,720.91/533,414.19
  6. Step 6: Final answer
    x = 294,672.74

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1.5x scale

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.