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Finding the Fourth Proportional to 767,709.44, 1,059,440.64 and 428,168.96

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Solution

The fourth proportional to 767,709.44, 1,059,440.64 and 428,168.96 is: 590,874.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,709.44 : 1,059,440.64 = 428,168.96 : x
  2. Step 2: Convert to fraction form
    767,709.44/1,059,440.64 = 428,168.96/x
  3. Step 3: Cross multiply
    767,709.44x = 1,059,440.64 × 428,168.96
  4. Step 4: Simplify right side
    767,709.44x = 453,619,597,010.53
  5. Step 5: Solve for x
    x = 453,619,597,010.53/767,709.44
  6. Step 6: Final answer
    x = 590,874.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.