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Finding the Fourth Proportional to 1,100,523.10, 1,647,463.14 and 1,100,523.10

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Solution

The fourth proportional to 1,100,523.10, 1,647,463.14 and 1,100,523.10 is: 1,647,463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,523.10 : 1,647,463.14 = 1,100,523.10 : x
  2. Step 2: Convert to fraction form
    1,100,523.10/1,647,463.14 = 1,100,523.10/x
  3. Step 3: Cross multiply
    1,100,523.10x = 1,647,463.14 × 1,100,523.10
  4. Step 4: Simplify right side
    1,100,523.10x = 1,813,071,241,968.53
  5. Step 5: Solve for x
    x = 1,813,071,241,968.53/1,100,523.10
  6. Step 6: Final answer
    x = 1,647,463.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.