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Finding the Fourth Proportional to 548,803.38, 822,351.67 and 380,652.24

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Solution

The fourth proportional to 548,803.38, 822,351.67 and 380,652.24 is: 570,386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,803.38 : 822,351.67 = 380,652.24 : x
  2. Step 2: Convert to fraction form
    548,803.38/822,351.67 = 380,652.24/x
  3. Step 3: Cross multiply
    548,803.38x = 822,351.67 × 380,652.24
  4. Step 4: Simplify right side
    548,803.38x = 313,029,999,238.22
  5. Step 5: Solve for x
    x = 313,029,999,238.22/548,803.38
  6. Step 6: Final answer
    x = 570,386.43

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Why These Related Problems?

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