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Finding the Fourth Proportional to 512,267.64, 706,864.14 and 285,922.68

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Solution

The fourth proportional to 512,267.64, 706,864.14 and 285,922.68 is: 394,536.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,267.64 : 706,864.14 = 285,922.68 : x
  2. Step 2: Convert to fraction form
    512,267.64/706,864.14 = 285,922.68/x
  3. Step 3: Cross multiply
    512,267.64x = 706,864.14 × 285,922.68
  4. Step 4: Simplify right side
    512,267.64x = 202,108,489,304.70
  5. Step 5: Solve for x
    x = 202,108,489,304.70/512,267.64
  6. Step 6: Final answer
    x = 394,536.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.