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Finding the Fourth Proportional to 288,728.34, 398,447.67 and 159,675.57

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Solution

The fourth proportional to 288,728.34, 398,447.67 and 159,675.57 is: 220,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,728.34 : 398,447.67 = 159,675.57 : x
  2. Step 2: Convert to fraction form
    288,728.34/398,447.67 = 159,675.57/x
  3. Step 3: Cross multiply
    288,728.34x = 398,447.67 × 159,675.57
  4. Step 4: Simplify right side
    288,728.34x = 63,622,358,822.42
  5. Step 5: Solve for x
    x = 63,622,358,822.42/288,728.34
  6. Step 6: Final answer
    x = 220,353.70

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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.