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Finding the Fourth Proportional to 365,558.74, 504,518.04 and 204,422.82

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Solution

The fourth proportional to 365,558.74, 504,518.04 and 204,422.82 is: 282,129.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,558.74 : 504,518.04 = 204,422.82 : x
  2. Step 2: Convert to fraction form
    365,558.74/504,518.04 = 204,422.82/x
  3. Step 3: Cross multiply
    365,558.74x = 504,518.04 × 204,422.82
  4. Step 4: Simplify right side
    365,558.74x = 103,135,000,477.67
  5. Step 5: Solve for x
    x = 103,135,000,477.67/365,558.74
  6. Step 6: Final answer
    x = 282,129.76

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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.