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Finding the Fourth Proportional to 413,735.22, 620,602.87 and 133,252.47

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Solution

The fourth proportional to 413,735.22, 620,602.87 and 133,252.47 is: 199,878.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,735.22 : 620,602.87 = 133,252.47 : x
  2. Step 2: Convert to fraction form
    413,735.22/620,602.87 = 133,252.47/x
  3. Step 3: Cross multiply
    413,735.22x = 620,602.87 × 133,252.47
  4. Step 4: Simplify right side
    413,735.22x = 82,696,864,650.33
  5. Step 5: Solve for x
    x = 82,696,864,650.33/413,735.22
  6. Step 6: Final answer
    x = 199,878.72

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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.