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Finding the Fourth Proportional to 1,296,019.40, 1,944,029.10 and 823,044.20

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Solution

The fourth proportional to 1,296,019.40, 1,944,029.10 and 823,044.20 is: 1,234,566.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,019.40 : 1,944,029.10 = 823,044.20 : x
  2. Step 2: Convert to fraction form
    1,296,019.40/1,944,029.10 = 823,044.20/x
  3. Step 3: Cross multiply
    1,296,019.40x = 1,944,029.10 × 823,044.20
  4. Step 4: Simplify right side
    1,296,019.40x = 1,600,021,875,386.22
  5. Step 5: Solve for x
    x = 1,600,021,875,386.22/1,296,019.40
  6. Step 6: Final answer
    x = 1,234,566.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.