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Finding the Fourth Proportional to 823,943.80, 1,155,180.20 and 823,943.80

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Solution

The fourth proportional to 823,943.80, 1,155,180.20 and 823,943.80 is: 1,155,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,943.80 : 1,155,180.20 = 823,943.80 : x
  2. Step 2: Convert to fraction form
    823,943.80/1,155,180.20 = 823,943.80/x
  3. Step 3: Cross multiply
    823,943.80x = 1,155,180.20 × 823,943.80
  4. Step 4: Simplify right side
    823,943.80x = 951,803,563,672.76
  5. Step 5: Solve for x
    x = 951,803,563,672.76/823,943.80
  6. Step 6: Final answer
    x = 1,155,180.20

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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.