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Finding the Fourth Proportional to 367,401.42, 506,997.63 and 206,253.54

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Solution

The fourth proportional to 367,401.42, 506,997.63 and 206,253.54 is: 284,620.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,401.42 : 506,997.63 = 206,253.54 : x
  2. Step 2: Convert to fraction form
    367,401.42/506,997.63 = 206,253.54/x
  3. Step 3: Cross multiply
    367,401.42x = 506,997.63 × 206,253.54
  4. Step 4: Simplify right side
    367,401.42x = 104,570,055,959.11
  5. Step 5: Solve for x
    x = 104,570,055,959.11/367,401.42
  6. Step 6: Final answer
    x = 284,620.72

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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.