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Finding the Fourth Proportional to 511,733.98, 767,590.49 and 227,347.44

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Solution

The fourth proportional to 511,733.98, 767,590.49 and 227,347.44 is: 341,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,733.98 : 767,590.49 = 227,347.44 : x
  2. Step 2: Convert to fraction form
    511,733.98/767,590.49 = 227,347.44/x
  3. Step 3: Cross multiply
    511,733.98x = 767,590.49 × 227,347.44
  4. Step 4: Simplify right side
    511,733.98x = 174,509,729,031.89
  5. Step 5: Solve for x
    x = 174,509,729,031.89/511,733.98
  6. Step 6: Final answer
    x = 341,016.50

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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.