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Finding the Fourth Proportional to 288,583.22, 398,237.20 and 161,259.86

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Solution

The fourth proportional to 288,583.22, 398,237.20 and 161,259.86 is: 222,534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,583.22 : 398,237.20 = 161,259.86 : x
  2. Step 2: Convert to fraction form
    288,583.22/398,237.20 = 161,259.86/x
  3. Step 3: Cross multiply
    288,583.22x = 398,237.20 × 161,259.86
  4. Step 4: Simplify right side
    288,583.22x = 64,219,675,118.79
  5. Step 5: Solve for x
    x = 64,219,675,118.79/288,583.22
  6. Step 6: Final answer
    x = 222,534.34

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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.