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Finding the Fourth Proportional to 413,737.22, 620,605.86 and 133,254.48

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Solution

The fourth proportional to 413,737.22, 620,605.86 and 133,254.48 is: 199,881.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,737.22 : 620,605.86 = 133,254.48 : x
  2. Step 2: Convert to fraction form
    413,737.22/620,605.86 = 133,254.48/x
  3. Step 3: Cross multiply
    413,737.22x = 620,605.86 × 133,254.48
  4. Step 4: Simplify right side
    413,737.22x = 82,698,511,159.25
  5. Step 5: Solve for x
    x = 82,698,511,159.25/413,737.22
  6. Step 6: Final answer
    x = 199,881.73

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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.