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Finding the Fourth Proportional to 288,729.34, 398,449.05 and 159,676.57

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Solution

The fourth proportional to 288,729.34, 398,449.05 and 159,676.57 is: 220,355.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,729.34 : 398,449.05 = 159,676.57 : x
  2. Step 2: Convert to fraction form
    288,729.34/398,449.05 = 159,676.57/x
  3. Step 3: Cross multiply
    288,729.34x = 398,449.05 × 159,676.57
  4. Step 4: Simplify right side
    288,729.34x = 63,622,977,623.76
  5. Step 5: Solve for x
    x = 63,622,977,623.76/288,729.34
  6. Step 6: Final answer
    x = 220,355.08

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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.