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Finding the Fourth Proportional to 382,842, 574,267.86 and 133,524

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Solution

The fourth proportional to 382,842, 574,267.86 and 133,524 is: 200,287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,842 : 574,267.86 = 133,524 : x
  2. Step 2: Convert to fraction form
    382,842/574,267.86 = 133,524/x
  3. Step 3: Cross multiply
    382,842x = 574,267.86 × 133,524
  4. Step 4: Simplify right side
    382,842x = 76,678,541,738.64
  5. Step 5: Solve for x
    x = 76,678,541,738.64/382,842
  6. Step 6: Final answer
    x = 200,287.70

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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.