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Finding the Fourth Proportional to 595,994.50, 822,472.41 and 327,722.50

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Solution

The fourth proportional to 595,994.50, 822,472.41 and 327,722.50 is: 452,257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,994.50 : 822,472.41 = 327,722.50 : x
  2. Step 2: Convert to fraction form
    595,994.50/822,472.41 = 327,722.50/x
  3. Step 3: Cross multiply
    595,994.50x = 822,472.41 × 327,722.50
  4. Step 4: Simplify right side
    595,994.50x = 269,542,714,386.23
  5. Step 5: Solve for x
    x = 269,542,714,386.23/595,994.50
  6. Step 6: Final answer
    x = 452,257.05

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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.