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Finding the Fourth Proportional to 789,134, 1,089,008.76 and 431,438

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Solution

The fourth proportional to 789,134, 1,089,008.76 and 431,438 is: 595,386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,134 : 1,089,008.76 = 431,438 : x
  2. Step 2: Convert to fraction form
    789,134/1,089,008.76 = 431,438/x
  3. Step 3: Cross multiply
    789,134x = 1,089,008.76 × 431,438
  4. Step 4: Simplify right side
    789,134x = 469,839,761,396.88
  5. Step 5: Solve for x
    x = 469,839,761,396.88/789,134
  6. Step 6: Final answer
    x = 595,386.54

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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.