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Finding the Fourth Proportional to 280,149.60, 420,224.40 and 191,576.10

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Solution

The fourth proportional to 280,149.60, 420,224.40 and 191,576.10 is: 287,364.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,149.60 : 420,224.40 = 191,576.10 : x
  2. Step 2: Convert to fraction form
    280,149.60/420,224.40 = 191,576.10/x
  3. Step 3: Cross multiply
    280,149.60x = 420,224.40 × 191,576.10
  4. Step 4: Simplify right side
    280,149.60x = 80,504,951,676.84
  5. Step 5: Solve for x
    x = 80,504,951,676.84/280,149.60
  6. Step 6: Final answer
    x = 287,364.15

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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.