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Finding the Fourth Proportional to 686,981.44, 948,022.14 and 385,175.44

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Solution

The fourth proportional to 686,981.44, 948,022.14 and 385,175.44 is: 531,535.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,981.44 : 948,022.14 = 385,175.44 : x
  2. Step 2: Convert to fraction form
    686,981.44/948,022.14 = 385,175.44/x
  3. Step 3: Cross multiply
    686,981.44x = 948,022.14 × 385,175.44
  4. Step 4: Simplify right side
    686,981.44x = 365,154,844,904.24
  5. Step 5: Solve for x
    x = 365,154,844,904.24/686,981.44
  6. Step 6: Final answer
    x = 531,535.24

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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.