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Finding the Fourth Proportional to 288,541.06, 398,207.27 and 159,476.77

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Solution

The fourth proportional to 288,541.06, 398,207.27 and 159,476.77 is: 220,089.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,541.06 : 398,207.27 = 159,476.77 : x
  2. Step 2: Convert to fraction form
    288,541.06/398,207.27 = 159,476.77/x
  3. Step 3: Cross multiply
    288,541.06x = 398,207.27 × 159,476.77
  4. Step 4: Simplify right side
    288,541.06x = 63,504,809,210.12
  5. Step 5: Solve for x
    x = 63,504,809,210.12/288,541.06
  6. Step 6: Final answer
    x = 220,089.33

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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.