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Finding the Fourth Proportional to 686,365.74, 946,864.35 and 431,857.26

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Solution

The fourth proportional to 686,365.74, 946,864.35 and 431,857.26 is: 595,761.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,365.74 : 946,864.35 = 431,857.26 : x
  2. Step 2: Convert to fraction form
    686,365.74/946,864.35 = 431,857.26/x
  3. Step 3: Cross multiply
    686,365.74x = 946,864.35 × 431,857.26
  4. Step 4: Simplify right side
    686,365.74x = 408,910,243,782.68
  5. Step 5: Solve for x
    x = 408,910,243,782.68/686,365.74
  6. Step 6: Final answer
    x = 595,761.44

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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.