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Finding the Fourth Proportional to 367,409.53, 506,990.15 and 206,227.63

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Solution

The fourth proportional to 367,409.53, 506,990.15 and 206,227.63 is: 284,574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,409.53 : 506,990.15 = 206,227.63 : x
  2. Step 2: Convert to fraction form
    367,409.53/506,990.15 = 206,227.63/x
  3. Step 3: Cross multiply
    367,409.53x = 506,990.15 × 206,227.63
  4. Step 4: Simplify right side
    367,409.53x = 104,555,374,532.89
  5. Step 5: Solve for x
    x = 104,555,374,532.89/367,409.53
  6. Step 6: Final answer
    x = 284,574.48

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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.