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Finding the Fourth Proportional to 1,206,941.70, 1,694,442.30 and 1,206,941.70

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Solution

The fourth proportional to 1,206,941.70, 1,694,442.30 and 1,206,941.70 is: 1,694,442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,941.70 : 1,694,442.30 = 1,206,941.70 : x
  2. Step 2: Convert to fraction form
    1,206,941.70/1,694,442.30 = 1,206,941.70/x
  3. Step 3: Cross multiply
    1,206,941.70x = 1,694,442.30 × 1,206,941.70
  4. Step 4: Simplify right side
    1,206,941.70x = 2,045,093,070,113.91
  5. Step 5: Solve for x
    x = 2,045,093,070,113.91/1,206,941.70
  6. Step 6: Final answer
    x = 1,694,442.30

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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.