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Finding the Fourth Proportional to 465,494.78, 697,273.39 and 296,176.38

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Solution

The fourth proportional to 465,494.78, 697,273.39 and 296,176.38 is: 443,648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,494.78 : 697,273.39 = 296,176.38 : x
  2. Step 2: Convert to fraction form
    465,494.78/697,273.39 = 296,176.38/x
  3. Step 3: Cross multiply
    465,494.78x = 697,273.39 × 296,176.38
  4. Step 4: Simplify right side
    465,494.78x = 206,515,908,520.53
  5. Step 5: Solve for x
    x = 206,515,908,520.53/465,494.78
  6. Step 6: Final answer
    x = 443,648.17

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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.