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Finding the Fourth Proportional to 280,223.58, 420,304.32 and 100,301.82

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Solution

The fourth proportional to 280,223.58, 420,304.32 and 100,301.82 is: 150,441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,223.58 : 420,304.32 = 100,301.82 : x
  2. Step 2: Convert to fraction form
    280,223.58/420,304.32 = 100,301.82/x
  3. Step 3: Cross multiply
    280,223.58x = 420,304.32 × 100,301.82
  4. Step 4: Simplify right side
    280,223.58x = 42,157,288,249.86
  5. Step 5: Solve for x
    x = 42,157,288,249.86/280,223.58
  6. Step 6: Final answer
    x = 150,441.62

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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.