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Finding the Fourth Proportional to 365,594.75, 504,516.50 and 204,448.29

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Solution

The fourth proportional to 365,594.75, 504,516.50 and 204,448.29 is: 282,136.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,594.75 : 504,516.50 = 204,448.29 : x
  2. Step 2: Convert to fraction form
    365,594.75/504,516.50 = 204,448.29/x
  3. Step 3: Cross multiply
    365,594.75x = 504,516.50 × 204,448.29
  4. Step 4: Simplify right side
    365,594.75x = 103,147,535,701.79
  5. Step 5: Solve for x
    x = 103,147,535,701.79/365,594.75
  6. Step 6: Final answer
    x = 282,136.26

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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.