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Finding the Fourth Proportional to 516,344.25, 712,621.89 and 289,989.75

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Solution

The fourth proportional to 516,344.25, 712,621.89 and 289,989.75 is: 400,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,344.25 : 712,621.89 = 289,989.75 : x
  2. Step 2: Convert to fraction form
    516,344.25/712,621.89 = 289,989.75/x
  3. Step 3: Cross multiply
    516,344.25x = 712,621.89 × 289,989.75
  4. Step 4: Simplify right side
    516,344.25x = 206,653,043,725.63
  5. Step 5: Solve for x
    x = 206,653,043,725.63/516,344.25
  6. Step 6: Final answer
    x = 400,223.39

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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.