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Finding the Fourth Proportional to 548,672.16, 822,157.20 and 380,520.48

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Solution

The fourth proportional to 548,672.16, 822,157.20 and 380,520.48 is: 570,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,672.16 : 822,157.20 = 380,520.48 : x
  2. Step 2: Convert to fraction form
    548,672.16/822,157.20 = 380,520.48/x
  3. Step 3: Cross multiply
    548,672.16x = 822,157.20 × 380,520.48
  4. Step 4: Simplify right side
    548,672.16x = 312,847,652,379.46
  5. Step 5: Solve for x
    x = 312,847,652,379.46/548,672.16
  6. Step 6: Final answer
    x = 570,190.50

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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.