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Finding the Fourth Proportional to 280,377.90, 420,462.96 and 100,435.30

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Solution

The fourth proportional to 280,377.90, 420,462.96 and 100,435.30 is: 150,615.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,377.90 : 420,462.96 = 100,435.30 : x
  2. Step 2: Convert to fraction form
    280,377.90/420,462.96 = 100,435.30/x
  3. Step 3: Cross multiply
    280,377.90x = 420,462.96 × 100,435.30
  4. Step 4: Simplify right side
    280,377.90x = 42,229,322,475.33
  5. Step 5: Solve for x
    x = 42,229,322,475.33/280,377.90
  6. Step 6: Final answer
    x = 150,615.73

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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.