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Finding the Fourth Proportional to 511,402.21, 767,324.69 and 274,468.03

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Solution

The fourth proportional to 511,402.21, 767,324.69 and 274,468.03 is: 411,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,402.21 : 767,324.69 = 274,468.03 : x
  2. Step 2: Convert to fraction form
    511,402.21/767,324.69 = 274,468.03/x
  3. Step 3: Cross multiply
    511,402.21x = 767,324.69 × 274,468.03
  4. Step 4: Simplify right side
    511,402.21x = 210,606,096,034.66
  5. Step 5: Solve for x
    x = 210,606,096,034.66/511,402.21
  6. Step 6: Final answer
    x = 411,820.86

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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.