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Finding the Fourth Proportional to 293,856.30, 440,784.45 and 188,793.90

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Solution

The fourth proportional to 293,856.30, 440,784.45 and 188,793.90 is: 283,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,856.30 : 440,784.45 = 188,793.90 : x
  2. Step 2: Convert to fraction form
    293,856.30/440,784.45 = 188,793.90/x
  3. Step 3: Cross multiply
    293,856.30x = 440,784.45 × 188,793.90
  4. Step 4: Simplify right side
    293,856.30x = 83,217,415,374.86
  5. Step 5: Solve for x
    x = 83,217,415,374.86/293,856.30
  6. Step 6: Final answer
    x = 283,190.85

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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.