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Finding the Fourth Proportional to 1,427,401.80, 1,969,811.46 and 823,789.80

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Solution

The fourth proportional to 1,427,401.80, 1,969,811.46 and 823,789.80 is: 1,136,828.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,401.80 : 1,969,811.46 = 823,789.80 : x
  2. Step 2: Convert to fraction form
    1,427,401.80/1,969,811.46 = 823,789.80/x
  3. Step 3: Cross multiply
    1,427,401.80x = 1,969,811.46 × 823,789.80
  4. Step 4: Simplify right side
    1,427,401.80x = 1,622,710,588,671.11
  5. Step 5: Solve for x
    x = 1,622,710,588,671.11/1,427,401.80
  6. Step 6: Final answer
    x = 1,136,828.18

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Why These Related Problems?

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