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Finding the Fourth Proportional to 413,731.13, 620,596.72 and 133,248.38

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Solution

The fourth proportional to 413,731.13, 620,596.72 and 133,248.38 is: 199,872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,731.13 : 620,596.72 = 133,248.38 : x
  2. Step 2: Convert to fraction form
    413,731.13/620,596.72 = 133,248.38/x
  3. Step 3: Cross multiply
    413,731.13x = 620,596.72 × 133,248.38
  4. Step 4: Simplify right side
    413,731.13x = 82,693,504,636.89
  5. Step 5: Solve for x
    x = 82,693,504,636.89/413,731.13
  6. Step 6: Final answer
    x = 199,872.57

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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.