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Finding the Fourth Proportional to 280,576.60, 420,864.90 and 186,098.20

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Solution

The fourth proportional to 280,576.60, 420,864.90 and 186,098.20 is: 279,147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,576.60 : 420,864.90 = 186,098.20 : x
  2. Step 2: Convert to fraction form
    280,576.60/420,864.90 = 186,098.20/x
  3. Step 3: Cross multiply
    280,576.60x = 420,864.90 × 186,098.20
  4. Step 4: Simplify right side
    280,576.60x = 78,322,200,333.18
  5. Step 5: Solve for x
    x = 78,322,200,333.18/280,576.60
  6. Step 6: Final answer
    x = 279,147.30

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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.