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Finding the Fourth Proportional to 511,379.88, 767,073.65 and 226,993.98

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Solution

The fourth proportional to 511,379.88, 767,073.65 and 226,993.98 is: 340,492.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,379.88 : 767,073.65 = 226,993.98 : x
  2. Step 2: Convert to fraction form
    511,379.88/767,073.65 = 226,993.98/x
  3. Step 3: Cross multiply
    511,379.88x = 767,073.65 × 226,993.98
  4. Step 4: Simplify right side
    511,379.88x = 174,121,100,766.63
  5. Step 5: Solve for x
    x = 174,121,100,766.63/511,379.88
  6. Step 6: Final answer
    x = 340,492.67

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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.