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Finding the Fourth Proportional to 408,135.78, 611,185.50 and 257,922.90

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Solution

The fourth proportional to 408,135.78, 611,185.50 and 257,922.90 is: 386,240.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,135.78 : 611,185.50 = 257,922.90 : x
  2. Step 2: Convert to fraction form
    408,135.78/611,185.50 = 257,922.90/x
  3. Step 3: Cross multiply
    408,135.78x = 611,185.50 × 257,922.90
  4. Step 4: Simplify right side
    408,135.78x = 157,638,736,597.95
  5. Step 5: Solve for x
    x = 157,638,736,597.95/408,135.78
  6. Step 6: Final answer
    x = 386,240.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.