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Finding the Fourth Proportional to 413,566.20, 620,349.30 and 133,083.45

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Solution

The fourth proportional to 413,566.20, 620,349.30 and 133,083.45 is: 199,625.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,566.20 : 620,349.30 = 133,083.45 : x
  2. Step 2: Convert to fraction form
    413,566.20/620,349.30 = 133,083.45/x
  3. Step 3: Cross multiply
    413,566.20x = 620,349.30 × 133,083.45
  4. Step 4: Simplify right side
    413,566.20x = 82,558,225,049.09
  5. Step 5: Solve for x
    x = 82,558,225,049.09/413,566.20
  6. Step 6: Final answer
    x = 199,625.18

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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.