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Finding the Fourth Proportional to 288,708.30, 398,415.24 and 159,652.44

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Solution

The fourth proportional to 288,708.30, 398,415.24 and 159,652.44 is: 220,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,708.30 : 398,415.24 = 159,652.44 : x
  2. Step 2: Convert to fraction form
    288,708.30/398,415.24 = 159,652.44/x
  3. Step 3: Cross multiply
    288,708.30x = 398,415.24 × 159,652.44
  4. Step 4: Simplify right side
    288,708.30x = 63,607,965,199.19
  5. Step 5: Solve for x
    x = 63,607,965,199.19/288,708.30
  6. Step 6: Final answer
    x = 220,319.14

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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.