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Finding the Fourth Proportional to 1,100,865.20, 1,538,062 and 1,100,865.20

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Solution

The fourth proportional to 1,100,865.20, 1,538,062 and 1,100,865.20 is: 1,538,062

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,865.20 : 1,538,062 = 1,100,865.20 : x
  2. Step 2: Convert to fraction form
    1,100,865.20/1,538,062 = 1,100,865.20/x
  3. Step 3: Cross multiply
    1,100,865.20x = 1,538,062 × 1,100,865.20
  4. Step 4: Simplify right side
    1,100,865.20x = 1,693,198,931,242.40
  5. Step 5: Solve for x
    x = 1,693,198,931,242.40/1,100,865.20
  6. Step 6: Final answer
    x = 1,538,062

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.