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Finding the Fourth Proportional to 654,714.18, 982,311.15 and 275,730.31

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Solution

The fourth proportional to 654,714.18, 982,311.15 and 275,730.31 is: 413,696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,714.18 : 982,311.15 = 275,730.31 : x
  2. Step 2: Convert to fraction form
    654,714.18/982,311.15 = 275,730.31/x
  3. Step 3: Cross multiply
    654,714.18x = 982,311.15 × 275,730.31
  4. Step 4: Simplify right side
    654,714.18x = 270,852,957,905.96
  5. Step 5: Solve for x
    x = 270,852,957,905.96/654,714.18
  6. Step 6: Final answer
    x = 413,696.49

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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.