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Finding the Fourth Proportional to 367,610.69, 507,304.78 and 206,465.76

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Solution

The fourth proportional to 367,610.69, 507,304.78 and 206,465.76 is: 284,923.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,610.69 : 507,304.78 = 206,465.76 : x
  2. Step 2: Convert to fraction form
    367,610.69/507,304.78 = 206,465.76/x
  3. Step 3: Cross multiply
    367,610.69x = 507,304.78 × 206,465.76
  4. Step 4: Simplify right side
    367,610.69x = 104,741,064,978.19
  5. Step 5: Solve for x
    x = 104,741,064,978.19/367,610.69
  6. Step 6: Final answer
    x = 284,923.88

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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.