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Finding the Fourth Proportional to 1,246,728.20, 1,865,426.70 and 826,824.20

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Solution

The fourth proportional to 1,246,728.20, 1,865,426.70 and 826,824.20 is: 1,237,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246,728.20 : 1,865,426.70 = 826,824.20 : x
  2. Step 2: Convert to fraction form
    1,246,728.20/1,865,426.70 = 826,824.20/x
  3. Step 3: Cross multiply
    1,246,728.20x = 1,865,426.70 × 826,824.20
  4. Step 4: Simplify right side
    1,246,728.20x = 1,542,379,938,886.14
  5. Step 5: Solve for x
    x = 1,542,379,938,886.14/1,246,728.20
  6. Step 6: Final answer
    x = 1,237,142.10

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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.