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Finding the Fourth Proportional to 356,295.38, 491,697.20 and 201,234.24

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Solution

The fourth proportional to 356,295.38, 491,697.20 and 201,234.24 is: 277,708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,295.38 : 491,697.20 = 201,234.24 : x
  2. Step 2: Convert to fraction form
    356,295.38/491,697.20 = 201,234.24/x
  3. Step 3: Cross multiply
    356,295.38x = 491,697.20 × 201,234.24
  4. Step 4: Simplify right side
    356,295.38x = 98,946,311,345.96
  5. Step 5: Solve for x
    x = 98,946,311,345.96/356,295.38
  6. Step 6: Final answer
    x = 277,708.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.