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Finding the Fourth Proportional to 382,712.68, 574,071.90 and 133,394.92

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Solution

The fourth proportional to 382,712.68, 574,071.90 and 133,394.92 is: 200,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,712.68 : 574,071.90 = 133,394.92 : x
  2. Step 2: Convert to fraction form
    382,712.68/574,071.90 = 133,394.92/x
  3. Step 3: Cross multiply
    382,712.68x = 574,071.90 × 133,394.92
  4. Step 4: Simplify right side
    382,712.68x = 76,578,275,174.75
  5. Step 5: Solve for x
    x = 76,578,275,174.75/382,712.68
  6. Step 6: Final answer
    x = 200,093.38

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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.