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Finding the Fourth Proportional to 367,702.22, 507,401.78 and 206,584.11

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Solution

The fourth proportional to 367,702.22, 507,401.78 and 206,584.11 is: 285,070.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,702.22 : 507,401.78 = 206,584.11 : x
  2. Step 2: Convert to fraction form
    367,702.22/507,401.78 = 206,584.11/x
  3. Step 3: Cross multiply
    367,702.22x = 507,401.78 × 206,584.11
  4. Step 4: Simplify right side
    367,702.22x = 104,821,145,133.72
  5. Step 5: Solve for x
    x = 104,821,145,133.72/367,702.22
  6. Step 6: Final answer
    x = 285,070.74

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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.