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Finding the Fourth Proportional to 294,902.63, 442,354.22 and 73,286.63

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Solution

The fourth proportional to 294,902.63, 442,354.22 and 73,286.63 is: 109,930.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,902.63 : 442,354.22 = 73,286.63 : x
  2. Step 2: Convert to fraction form
    294,902.63/442,354.22 = 73,286.63/x
  3. Step 3: Cross multiply
    294,902.63x = 442,354.22 × 73,286.63
  4. Step 4: Simplify right side
    294,902.63x = 32,418,649,683.65
  5. Step 5: Solve for x
    x = 32,418,649,683.65/294,902.63
  6. Step 6: Final answer
    x = 109,930.01

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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.