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Finding the Fourth Proportional to 341,294.25, 511,542.75 and 256,782.90

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Solution

The fourth proportional to 341,294.25, 511,542.75 and 256,782.90 is: 384,874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,294.25 : 511,542.75 = 256,782.90 : x
  2. Step 2: Convert to fraction form
    341,294.25/511,542.75 = 256,782.90/x
  3. Step 3: Cross multiply
    341,294.25x = 511,542.75 × 256,782.90
  4. Step 4: Simplify right side
    341,294.25x = 131,355,430,818.98
  5. Step 5: Solve for x
    x = 131,355,430,818.98/341,294.25
  6. Step 6: Final answer
    x = 384,874.43

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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.