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Finding the Fourth Proportional to 378,267.34, 567,290.28 and 311,541.97

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Solution

The fourth proportional to 378,267.34, 567,290.28 and 311,541.97 is: 467,221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,267.34 : 567,290.28 = 311,541.97 : x
  2. Step 2: Convert to fraction form
    378,267.34/567,290.28 = 311,541.97/x
  3. Step 3: Cross multiply
    378,267.34x = 567,290.28 × 311,541.97
  4. Step 4: Simplify right side
    378,267.34x = 176,734,731,393.05
  5. Step 5: Solve for x
    x = 176,734,731,393.05/378,267.34
  6. Step 6: Final answer
    x = 467,221.76

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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.