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Finding the Fourth Proportional to 511,378.88, 767,072.15 and 226,992.98

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Solution

The fourth proportional to 511,378.88, 767,072.15 and 226,992.98 is: 340,491.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,378.88 : 767,072.15 = 226,992.98 : x
  2. Step 2: Convert to fraction form
    511,378.88/767,072.15 = 226,992.98/x
  3. Step 3: Cross multiply
    511,378.88x = 767,072.15 × 226,992.98
  4. Step 4: Simplify right side
    511,378.88x = 174,119,991,799.50
  5. Step 5: Solve for x
    x = 174,119,991,799.50/511,378.88
  6. Step 6: Final answer
    x = 340,491.17

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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.