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Finding the Fourth Proportional to 537,943.86, 806,682.42 and 182,862.54

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Solution

The fourth proportional to 537,943.86, 806,682.42 and 182,862.54 is: 274,214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,943.86 : 806,682.42 = 182,862.54 : x
  2. Step 2: Convert to fraction form
    537,943.86/806,682.42 = 182,862.54/x
  3. Step 3: Cross multiply
    537,943.86x = 806,682.42 × 182,862.54
  4. Step 4: Simplify right side
    537,943.86x = 147,511,996,294.55
  5. Step 5: Solve for x
    x = 147,511,996,294.55/537,943.86
  6. Step 6: Final answer
    x = 274,214.48

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Why These Related Problems?

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