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Finding the Fourth Proportional to 213,467.55, 294,613.38 and 206,457.54

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Solution

The fourth proportional to 213,467.55, 294,613.38 and 206,457.54 is: 284,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,467.55 : 294,613.38 = 206,457.54 : x
  2. Step 2: Convert to fraction form
    213,467.55/294,613.38 = 206,457.54/x
  3. Step 3: Cross multiply
    213,467.55x = 294,613.38 × 206,457.54
  4. Step 4: Simplify right side
    213,467.55x = 60,825,153,685.89
  5. Step 5: Solve for x
    x = 60,825,153,685.89/213,467.55
  6. Step 6: Final answer
    x = 284,938.64

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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.