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Finding the Fourth Proportional to 467,162.88, 700,748.16 and 200,904.96

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Solution

The fourth proportional to 467,162.88, 700,748.16 and 200,904.96 is: 301,359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,162.88 : 700,748.16 = 200,904.96 : x
  2. Step 2: Convert to fraction form
    467,162.88/700,748.16 = 200,904.96/x
  3. Step 3: Cross multiply
    467,162.88x = 700,748.16 × 200,904.96
  4. Step 4: Simplify right side
    467,162.88x = 140,783,781,054.87
  5. Step 5: Solve for x
    x = 140,783,781,054.87/467,162.88
  6. Step 6: Final answer
    x = 301,359.09

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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.