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Finding the Fourth Proportional to 367,404.53, 506,983.25 and 206,222.63

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Solution

The fourth proportional to 367,404.53, 506,983.25 and 206,222.63 is: 284,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,404.53 : 506,983.25 = 206,222.63 : x
  2. Step 2: Convert to fraction form
    367,404.53/506,983.25 = 206,222.63/x
  3. Step 3: Cross multiply
    367,404.53x = 506,983.25 × 206,222.63
  4. Step 4: Simplify right side
    367,404.53x = 104,551,417,161.59
  5. Step 5: Solve for x
    x = 104,551,417,161.59/367,404.53
  6. Step 6: Final answer
    x = 284,567.58

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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.