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Finding the Fourth Proportional to 288,974.42, 398,785.36 and 159,922.28

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Solution

The fourth proportional to 288,974.42, 398,785.36 and 159,922.28 is: 220,693.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,974.42 : 398,785.36 = 159,922.28 : x
  2. Step 2: Convert to fraction form
    288,974.42/398,785.36 = 159,922.28/x
  3. Step 3: Cross multiply
    288,974.42x = 398,785.36 × 159,922.28
  4. Step 4: Simplify right side
    288,974.42x = 63,774,665,196.77
  5. Step 5: Solve for x
    x = 63,774,665,196.77/288,974.42
  6. Step 6: Final answer
    x = 220,693.12

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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.