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Finding the Fourth Proportional to 809,232, 1,213,906.32 and 310,596

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Solution

The fourth proportional to 809,232, 1,213,906.32 and 310,596 is: 465,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,232 : 1,213,906.32 = 310,596 : x
  2. Step 2: Convert to fraction form
    809,232/1,213,906.32 = 310,596/x
  3. Step 3: Cross multiply
    809,232x = 1,213,906.32 × 310,596
  4. Step 4: Simplify right side
    809,232x = 377,034,447,366.72
  5. Step 5: Solve for x
    x = 377,034,447,366.72/809,232
  6. Step 6: Final answer
    x = 465,916.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.