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Finding the Fourth Proportional to 367,782.90, 507,540.85 and 206,637.86

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Solution

The fourth proportional to 367,782.90, 507,540.85 and 206,637.86 is: 285,160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,782.90 : 507,540.85 = 206,637.86 : x
  2. Step 2: Convert to fraction form
    367,782.90/507,540.85 = 206,637.86/x
  3. Step 3: Cross multiply
    367,782.90x = 507,540.85 × 206,637.86
  4. Step 4: Simplify right side
    367,782.90x = 104,877,152,052.28
  5. Step 5: Solve for x
    x = 104,877,152,052.28/367,782.90
  6. Step 6: Final answer
    x = 285,160.49

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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.