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Finding the Fourth Proportional to 288,575.34, 398,226.33 and 161,251.98

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Solution

The fourth proportional to 288,575.34, 398,226.33 and 161,251.98 is: 222,523.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,575.34 : 398,226.33 = 161,251.98 : x
  2. Step 2: Convert to fraction form
    288,575.34/398,226.33 = 161,251.98/x
  3. Step 3: Cross multiply
    288,575.34x = 398,226.33 × 161,251.98
  4. Step 4: Simplify right side
    288,575.34x = 64,214,784,200.63
  5. Step 5: Solve for x
    x = 64,214,784,200.63/288,575.34
  6. Step 6: Final answer
    x = 222,523.46

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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.