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Finding the Fourth Proportional to 367,678.64, 507,377.04 and 206,540.48

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Solution

The fourth proportional to 367,678.64, 507,377.04 and 206,540.48 is: 285,014.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,678.64 : 507,377.04 = 206,540.48 : x
  2. Step 2: Convert to fraction form
    367,678.64/507,377.04 = 206,540.48/x
  3. Step 3: Cross multiply
    367,678.64x = 507,377.04 × 206,540.48
  4. Step 4: Simplify right side
    367,678.64x = 104,793,897,382.58
  5. Step 5: Solve for x
    x = 104,793,897,382.58/367,678.64
  6. Step 6: Final answer
    x = 285,014.92

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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.