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Finding the Fourth Proportional to 643,163.64, 887,972.40 and 413,827.56

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Solution

The fourth proportional to 643,163.64, 887,972.40 and 413,827.56 is: 571,343.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,163.64 : 887,972.40 = 413,827.56 : x
  2. Step 2: Convert to fraction form
    643,163.64/887,972.40 = 413,827.56/x
  3. Step 3: Cross multiply
    643,163.64x = 887,972.40 × 413,827.56
  4. Step 4: Simplify right side
    643,163.64x = 367,467,451,639.34
  5. Step 5: Solve for x
    x = 367,467,451,639.34/643,163.64
  6. Step 6: Final answer
    x = 571,343.63

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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.