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Finding the Fourth Proportional to 802,143.80, 1,203,215.70 and 711,942.20

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Solution

The fourth proportional to 802,143.80, 1,203,215.70 and 711,942.20 is: 1,067,913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,143.80 : 1,203,215.70 = 711,942.20 : x
  2. Step 2: Convert to fraction form
    802,143.80/1,203,215.70 = 711,942.20/x
  3. Step 3: Cross multiply
    802,143.80x = 1,203,215.70 × 711,942.20
  4. Step 4: Simplify right side
    802,143.80x = 856,620,032,532.54
  5. Step 5: Solve for x
    x = 856,620,032,532.54/802,143.80
  6. Step 6: Final answer
    x = 1,067,913.30

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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.