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Finding the Fourth Proportional to 382,992, 574,750.49 and 133,674

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Solution

The fourth proportional to 382,992, 574,750.49 and 133,674 is: 200,602.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,992 : 574,750.49 = 133,674 : x
  2. Step 2: Convert to fraction form
    382,992/574,750.49 = 133,674/x
  3. Step 3: Cross multiply
    382,992x = 574,750.49 × 133,674
  4. Step 4: Simplify right side
    382,992x = 76,829,196,331.89
  5. Step 5: Solve for x
    x = 76,829,196,331.89/382,992
  6. Step 6: Final answer
    x = 200,602.61

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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.