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Finding the Fourth Proportional to 512,252.71, 706,251.63 and 420,032.26

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Solution

The fourth proportional to 512,252.71, 706,251.63 and 420,032.26 is: 579,105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,252.71 : 706,251.63 = 420,032.26 : x
  2. Step 2: Convert to fraction form
    512,252.71/706,251.63 = 420,032.26/x
  3. Step 3: Cross multiply
    512,252.71x = 706,251.63 × 420,032.26
  4. Step 4: Simplify right side
    512,252.71x = 296,648,468,277.58
  5. Step 5: Solve for x
    x = 296,648,468,277.58/512,252.71
  6. Step 6: Final answer
    x = 579,105.71

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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.