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Finding the Fourth Proportional to 789,411.50, 1,089,413.79 and 431,715.50

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Solution

The fourth proportional to 789,411.50, 1,089,413.79 and 431,715.50 is: 595,781.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,411.50 : 1,089,413.79 = 431,715.50 : x
  2. Step 2: Convert to fraction form
    789,411.50/1,089,413.79 = 431,715.50/x
  3. Step 3: Cross multiply
    789,411.50x = 1,089,413.79 × 431,715.50
  4. Step 4: Simplify right side
    789,411.50x = 470,316,819,056.75
  5. Step 5: Solve for x
    x = 470,316,819,056.75/789,411.50
  6. Step 6: Final answer
    x = 595,781.57

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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.