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Finding the Fourth Proportional to 1,100,612.70, 1,542,957.30 and 1,100,612.70

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Solution

The fourth proportional to 1,100,612.70, 1,542,957.30 and 1,100,612.70 is: 1,542,957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,612.70 : 1,542,957.30 = 1,100,612.70 : x
  2. Step 2: Convert to fraction form
    1,100,612.70/1,542,957.30 = 1,100,612.70/x
  3. Step 3: Cross multiply
    1,100,612.70x = 1,542,957.30 × 1,100,612.70
  4. Step 4: Simplify right side
    1,100,612.70x = 1,698,198,399,937.71
  5. Step 5: Solve for x
    x = 1,698,198,399,937.71/1,100,612.70
  6. Step 6: Final answer
    x = 1,542,957.30

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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.