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Finding the Fourth Proportional to 289,680.85, 399,764.38 and 160,624.77

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Solution

The fourth proportional to 289,680.85, 399,764.38 and 160,624.77 is: 221,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,680.85 : 399,764.38 = 160,624.77 : x
  2. Step 2: Convert to fraction form
    289,680.85/399,764.38 = 160,624.77/x
  3. Step 3: Cross multiply
    289,680.85x = 399,764.38 × 160,624.77
  4. Step 4: Simplify right side
    289,680.85x = 64,212,058,789.75
  5. Step 5: Solve for x
    x = 64,212,058,789.75/289,680.85
  6. Step 6: Final answer
    x = 221,664.84

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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.