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Finding the Fourth Proportional to 1,427,400.80, 1,969,810.08 and 823,788.80

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Solution

The fourth proportional to 1,427,400.80, 1,969,810.08 and 823,788.80 is: 1,136,826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,400.80 : 1,969,810.08 = 823,788.80 : x
  2. Step 2: Convert to fraction form
    1,427,400.80/1,969,810.08 = 823,788.80/x
  3. Step 3: Cross multiply
    1,427,400.80x = 1,969,810.08 × 823,788.80
  4. Step 4: Simplify right side
    1,427,400.80x = 1,622,707,482,031.10
  5. Step 5: Solve for x
    x = 1,622,707,482,031.10/1,427,400.80
  6. Step 6: Final answer
    x = 1,136,826.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.