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Finding the Fourth Proportional to 1,761,996.40, 2,471,771.60 and 1,761,996.40

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Solution

The fourth proportional to 1,761,996.40, 2,471,771.60 and 1,761,996.40 is: 2,471,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761,996.40 : 2,471,771.60 = 1,761,996.40 : x
  2. Step 2: Convert to fraction form
    1,761,996.40/2,471,771.60 = 1,761,996.40/x
  3. Step 3: Cross multiply
    1,761,996.40x = 2,471,771.60 × 1,761,996.40
  4. Step 4: Simplify right side
    1,761,996.40x = 4,355,252,660,822.24
  5. Step 5: Solve for x
    x = 4,355,252,660,822.24/1,761,996.40
  6. Step 6: Final answer
    x = 2,471,771.60

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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.