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Finding the Fourth Proportional to 367,666.67, 507,380.27 and 206,521.80

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Solution

The fourth proportional to 367,666.67, 507,380.27 and 206,521.80 is: 285,000.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,666.67 : 507,380.27 = 206,521.80 : x
  2. Step 2: Convert to fraction form
    367,666.67/507,380.27 = 206,521.80/x
  3. Step 3: Cross multiply
    367,666.67x = 507,380.27 × 206,521.80
  4. Step 4: Simplify right side
    367,666.67x = 104,785,085,612.28
  5. Step 5: Solve for x
    x = 104,785,085,612.28/367,666.67
  6. Step 6: Final answer
    x = 285,000.23

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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.