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Finding the Fourth Proportional to 547,884.12, 822,086.82 and 379,663.32

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Solution

The fourth proportional to 547,884.12, 822,086.82 and 379,663.32 is: 569,675.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,884.12 : 822,086.82 = 379,663.32 : x
  2. Step 2: Convert to fraction form
    547,884.12/822,086.82 = 379,663.32/x
  3. Step 3: Cross multiply
    547,884.12x = 822,086.82 × 379,663.32
  4. Step 4: Simplify right side
    547,884.12x = 312,116,211,409.44
  5. Step 5: Solve for x
    x = 312,116,211,409.44/547,884.12
  6. Step 6: Final answer
    x = 569,675.59

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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.