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Finding the Fourth Proportional to 365,790.92, 504,811.08 and 204,636.36

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Solution

The fourth proportional to 365,790.92, 504,811.08 and 204,636.36 is: 282,409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,790.92 : 504,811.08 = 204,636.36 : x
  2. Step 2: Convert to fraction form
    365,790.92/504,811.08 = 204,636.36/x
  3. Step 3: Cross multiply
    365,790.92x = 504,811.08 × 204,636.36
  4. Step 4: Simplify right side
    365,790.92x = 103,302,698,863.22
  5. Step 5: Solve for x
    x = 103,302,698,863.22/365,790.92
  6. Step 6: Final answer
    x = 282,409.14

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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.