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Finding the Fourth Proportional to 523,659.44, 785,550.66 and 186,747.98

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Solution

The fourth proportional to 523,659.44, 785,550.66 and 186,747.98 is: 280,143.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,659.44 : 785,550.66 = 186,747.98 : x
  2. Step 2: Convert to fraction form
    523,659.44/785,550.66 = 186,747.98/x
  3. Step 3: Cross multiply
    523,659.44x = 785,550.66 × 186,747.98
  4. Step 4: Simplify right side
    523,659.44x = 146,700,000,906.54
  5. Step 5: Solve for x
    x = 146,700,000,906.54/523,659.44
  6. Step 6: Final answer
    x = 280,143.90

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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.