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Finding the Fourth Proportional to 367,857.24, 507,652.02 and 206,702.64

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Solution

The fourth proportional to 367,857.24, 507,652.02 and 206,702.64 is: 285,254.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,857.24 : 507,652.02 = 206,702.64 : x
  2. Step 2: Convert to fraction form
    367,857.24/507,652.02 = 206,702.64/x
  3. Step 3: Cross multiply
    367,857.24x = 507,652.02 × 206,702.64
  4. Step 4: Simplify right side
    367,857.24x = 104,933,012,735.33
  5. Step 5: Solve for x
    x = 104,933,012,735.33/367,857.24
  6. Step 6: Final answer
    x = 285,254.72

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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.