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Finding the Fourth Proportional to 789,409.50, 1,089,411.03 and 431,713.50

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Solution

The fourth proportional to 789,409.50, 1,089,411.03 and 431,713.50 is: 595,778.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,409.50 : 1,089,411.03 = 431,713.50 : x
  2. Step 2: Convert to fraction form
    789,409.50/1,089,411.03 = 431,713.50/x
  3. Step 3: Cross multiply
    789,409.50x = 1,089,411.03 × 431,713.50
  4. Step 4: Simplify right side
    789,409.50x = 470,313,448,699.91
  5. Step 5: Solve for x
    x = 470,313,448,699.91/789,409.50
  6. Step 6: Final answer
    x = 595,778.81

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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.