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Finding the Fourth Proportional to 686,151.28, 946,894.34 and 380,232.81

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Solution

The fourth proportional to 686,151.28, 946,894.34 and 380,232.81 is: 524,724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,151.28 : 946,894.34 = 380,232.81 : x
  2. Step 2: Convert to fraction form
    686,151.28/946,894.34 = 380,232.81/x
  3. Step 3: Cross multiply
    686,151.28x = 946,894.34 × 380,232.81
  4. Step 4: Simplify right side
    686,151.28x = 360,040,296,621.88
  5. Step 5: Solve for x
    x = 360,040,296,621.88/686,151.28
  6. Step 6: Final answer
    x = 524,724.37

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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.