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Finding the Fourth Proportional to 789,782.94, 1,089,900.54 and 427,206.78

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Solution

The fourth proportional to 789,782.94, 1,089,900.54 and 427,206.78 is: 589,545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,782.94 : 1,089,900.54 = 427,206.78 : x
  2. Step 2: Convert to fraction form
    789,782.94/1,089,900.54 = 427,206.78/x
  3. Step 3: Cross multiply
    789,782.94x = 1,089,900.54 × 427,206.78
  4. Step 4: Simplify right side
    789,782.94x = 465,612,900,213.66
  5. Step 5: Solve for x
    x = 465,612,900,213.66/789,782.94
  6. Step 6: Final answer
    x = 589,545.40

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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.