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Finding the Fourth Proportional to 686,184.57, 946,824.46 and 431,355.33

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Solution

The fourth proportional to 686,184.57, 946,824.46 and 431,355.33 is: 595,201.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,184.57 : 946,824.46 = 431,355.33 : x
  2. Step 2: Convert to fraction form
    686,184.57/946,824.46 = 431,355.33/x
  3. Step 3: Cross multiply
    686,184.57x = 946,824.46 × 431,355.33
  4. Step 4: Simplify right side
    686,184.57x = 408,417,777,395.37
  5. Step 5: Solve for x
    x = 408,417,777,395.37/686,184.57
  6. Step 6: Final answer
    x = 595,201.05

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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.