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Finding the Fourth Proportional to 280,380.90, 420,467.46 and 100,438.30

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Solution

The fourth proportional to 280,380.90, 420,467.46 and 100,438.30 is: 150,620.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,380.90 : 420,467.46 = 100,438.30 : x
  2. Step 2: Convert to fraction form
    280,380.90/420,467.46 = 100,438.30/x
  3. Step 3: Cross multiply
    280,380.90x = 420,467.46 × 100,438.30
  4. Step 4: Simplify right side
    280,380.90x = 42,231,036,887.72
  5. Step 5: Solve for x
    x = 42,231,036,887.72/280,380.90
  6. Step 6: Final answer
    x = 150,620.23

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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.