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Finding the Fourth Proportional to 441,162.78, 661,709.61 and 160,742.94

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Solution

The fourth proportional to 441,162.78, 661,709.61 and 160,742.94 is: 241,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,162.78 : 661,709.61 = 160,742.94 : x
  2. Step 2: Convert to fraction form
    441,162.78/661,709.61 = 160,742.94/x
  3. Step 3: Cross multiply
    441,162.78x = 661,709.61 × 160,742.94
  4. Step 4: Simplify right side
    441,162.78x = 106,365,148,137.65
  5. Step 5: Solve for x
    x = 106,365,148,137.65/441,162.78
  6. Step 6: Final answer
    x = 241,101.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.