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Finding the Fourth Proportional to 366,062.34, 505,176.58 and 204,916.44

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Solution

The fourth proportional to 366,062.34, 505,176.58 and 204,916.44 is: 282,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,062.34 : 505,176.58 = 204,916.44 : x
  2. Step 2: Convert to fraction form
    366,062.34/505,176.58 = 204,916.44/x
  3. Step 3: Cross multiply
    366,062.34x = 505,176.58 × 204,916.44
  4. Step 4: Simplify right side
    366,062.34x = 103,518,986,344.98
  5. Step 5: Solve for x
    x = 103,518,986,344.98/366,062.34
  6. Step 6: Final answer
    x = 282,790.59

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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.