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Finding the Fourth Proportional to 548,563.74, 822,221.01 and 343,494.24

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Solution

The fourth proportional to 548,563.74, 822,221.01 and 343,494.24 is: 514,850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,563.74 : 822,221.01 = 343,494.24 : x
  2. Step 2: Convert to fraction form
    548,563.74/822,221.01 = 343,494.24/x
  3. Step 3: Cross multiply
    548,563.74x = 822,221.01 × 343,494.24
  4. Step 4: Simplify right side
    548,563.74x = 282,428,180,941.98
  5. Step 5: Solve for x
    x = 282,428,180,941.98/548,563.74
  6. Step 6: Final answer
    x = 514,850.25

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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.