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Finding the Fourth Proportional to 548,516.80, 822,861.60 and 174,577.60

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Solution

The fourth proportional to 548,516.80, 822,861.60 and 174,577.60 is: 261,893.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,516.80 : 822,861.60 = 174,577.60 : x
  2. Step 2: Convert to fraction form
    548,516.80/822,861.60 = 174,577.60/x
  3. Step 3: Cross multiply
    548,516.80x = 822,861.60 × 174,577.60
  4. Step 4: Simplify right side
    548,516.80x = 143,653,203,260.16
  5. Step 5: Solve for x
    x = 143,653,203,260.16/548,516.80
  6. Step 6: Final answer
    x = 261,893.90

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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.