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Finding the Fourth Proportional to 257,011, 354,862.26 and 206,302.66

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Solution

The fourth proportional to 257,011, 354,862.26 and 206,302.66 is: 284,847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,011 : 354,862.26 = 206,302.66 : x
  2. Step 2: Convert to fraction form
    257,011/354,862.26 = 206,302.66/x
  3. Step 3: Cross multiply
    257,011x = 354,862.26 × 206,302.66
  4. Step 4: Simplify right side
    257,011x = 73,209,028,171.61
  5. Step 5: Solve for x
    x = 73,209,028,171.61/257,011
  6. Step 6: Final answer
    x = 284,847.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.