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Finding the Fourth Proportional to 328,228.74, 491,818.14 and 296,735.94

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Solution

The fourth proportional to 328,228.74, 491,818.14 and 296,735.94 is: 444,629.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,228.74 : 491,818.14 = 296,735.94 : x
  2. Step 2: Convert to fraction form
    328,228.74/491,818.14 = 296,735.94/x
  3. Step 3: Cross multiply
    328,228.74x = 491,818.14 × 296,735.94
  4. Step 4: Simplify right side
    328,228.74x = 145,940,118,081.95
  5. Step 5: Solve for x
    x = 145,940,118,081.95/328,228.74
  6. Step 6: Final answer
    x = 444,629.31

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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.