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Finding the Fourth Proportional to 288,594.75, 398,260.08 and 161,270.34

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Solution

The fourth proportional to 288,594.75, 398,260.08 and 161,270.34 is: 222,552.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,594.75 : 398,260.08 = 161,270.34 : x
  2. Step 2: Convert to fraction form
    288,594.75/398,260.08 = 161,270.34/x
  3. Step 3: Cross multiply
    288,594.75x = 398,260.08 × 161,270.34
  4. Step 4: Simplify right side
    288,594.75x = 64,227,538,510.03
  5. Step 5: Solve for x
    x = 64,227,538,510.03/288,594.75
  6. Step 6: Final answer
    x = 222,552.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.