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Finding the Fourth Proportional to 289,826.56, 399,951.20 and 160,764.48

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Solution

The fourth proportional to 289,826.56, 399,951.20 and 160,764.48 is: 221,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,826.56 : 399,951.20 = 160,764.48 : x
  2. Step 2: Convert to fraction form
    289,826.56/399,951.20 = 160,764.48/x
  3. Step 3: Cross multiply
    289,826.56x = 399,951.20 × 160,764.48
  4. Step 4: Simplify right side
    289,826.56x = 64,297,946,693.38
  5. Step 5: Solve for x
    x = 64,297,946,693.38/289,826.56
  6. Step 6: Final answer
    x = 221,849.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.