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Finding the Fourth Proportional to 465,493.78, 697,271.89 and 296,175.38

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Solution

The fourth proportional to 465,493.78, 697,271.89 and 296,175.38 is: 443,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,493.78 : 697,271.89 = 296,175.38 : x
  2. Step 2: Convert to fraction form
    465,493.78/697,271.89 = 296,175.38/x
  3. Step 3: Cross multiply
    465,493.78x = 697,271.89 × 296,175.38
  4. Step 4: Simplify right side
    465,493.78x = 206,514,766,984.07
  5. Step 5: Solve for x
    x = 206,514,766,984.07/465,493.78
  6. Step 6: Final answer
    x = 443,646.67

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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.