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Finding the Fourth Proportional to 511,840.76, 767,851.38 and 174,802.41

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Solution

The fourth proportional to 511,840.76, 767,851.38 and 174,802.41 is: 262,234.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,840.76 : 767,851.38 = 174,802.41 : x
  2. Step 2: Convert to fraction form
    511,840.76/767,851.38 = 174,802.41/x
  3. Step 3: Cross multiply
    511,840.76x = 767,851.38 × 174,802.41
  4. Step 4: Simplify right side
    511,840.76x = 134,222,271,745.83
  5. Step 5: Solve for x
    x = 134,222,271,745.83/511,840.76
  6. Step 6: Final answer
    x = 262,234.44

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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.