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Finding the Fourth Proportional to 548,659.40, 822,989.10 and 193,670.60

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Solution

The fourth proportional to 548,659.40, 822,989.10 and 193,670.60 is: 290,505.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,659.40 : 822,989.10 = 193,670.60 : x
  2. Step 2: Convert to fraction form
    548,659.40/822,989.10 = 193,670.60/x
  3. Step 3: Cross multiply
    548,659.40x = 822,989.10 × 193,670.60
  4. Step 4: Simplify right side
    548,659.40x = 159,388,792,790.46
  5. Step 5: Solve for x
    x = 159,388,792,790.46/548,659.40
  6. Step 6: Final answer
    x = 290,505.90

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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.