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Finding the Fourth Proportional to 654,714.68, 982,311.90 and 275,730.81

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Solution

The fourth proportional to 654,714.68, 982,311.90 and 275,730.81 is: 413,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,714.68 : 982,311.90 = 275,730.81 : x
  2. Step 2: Convert to fraction form
    654,714.68/982,311.90 = 275,730.81/x
  3. Step 3: Cross multiply
    654,714.68x = 982,311.90 × 275,730.81
  4. Step 4: Simplify right side
    654,714.68x = 270,853,655,859.64
  5. Step 5: Solve for x
    x = 270,853,655,859.64/654,714.68
  6. Step 6: Final answer
    x = 413,697.24

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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.