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Finding the Fourth Proportional to 511,802.22, 767,801.76 and 196,234.52

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Solution

The fourth proportional to 511,802.22, 767,801.76 and 196,234.52 is: 294,389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,802.22 : 767,801.76 = 196,234.52 : x
  2. Step 2: Convert to fraction form
    511,802.22/767,801.76 = 196,234.52/x
  3. Step 3: Cross multiply
    511,802.22x = 767,801.76 × 196,234.52
  4. Step 4: Simplify right side
    511,802.22x = 150,669,212,284.10
  5. Step 5: Solve for x
    x = 150,669,212,284.10/511,802.22
  6. Step 6: Final answer
    x = 294,389.52

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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.