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Finding the Fourth Proportional to 1,296,765.70, 1,943,982.15 and 823,207.30

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Solution

The fourth proportional to 1,296,765.70, 1,943,982.15 and 823,207.30 is: 1,234,070.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,765.70 : 1,943,982.15 = 823,207.30 : x
  2. Step 2: Convert to fraction form
    1,296,765.70/1,943,982.15 = 823,207.30/x
  3. Step 3: Cross multiply
    1,296,765.70x = 1,943,982.15 × 823,207.30
  4. Step 4: Simplify right side
    1,296,765.70x = 1,600,300,296,949.70
  5. Step 5: Solve for x
    x = 1,600,300,296,949.70/1,296,765.70
  6. Step 6: Final answer
    x = 1,234,070.50

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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.