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Finding the Fourth Proportional to 365,581.46, 504,516.16 and 204,436.11

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Solution

The fourth proportional to 365,581.46, 504,516.16 and 204,436.11 is: 282,129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,581.46 : 504,516.16 = 204,436.11 : x
  2. Step 2: Convert to fraction form
    365,581.46/504,516.16 = 204,436.11/x
  3. Step 3: Cross multiply
    365,581.46x = 504,516.16 × 204,436.11
  4. Step 4: Simplify right side
    365,581.46x = 103,141,321,182.54
  5. Step 5: Solve for x
    x = 103,141,321,182.54/365,581.46
  6. Step 6: Final answer
    x = 282,129.52

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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.