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Finding the Fourth Proportional to 809,233.50, 1,213,908.57 and 310,597.50

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Solution

The fourth proportional to 809,233.50, 1,213,908.57 and 310,597.50 is: 465,918.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,233.50 : 1,213,908.57 = 310,597.50 : x
  2. Step 2: Convert to fraction form
    809,233.50/1,213,908.57 = 310,597.50/x
  3. Step 3: Cross multiply
    809,233.50x = 1,213,908.57 × 310,597.50
  4. Step 4: Simplify right side
    809,233.50x = 377,036,967,070.58
  5. Step 5: Solve for x
    x = 377,036,967,070.58/809,233.50
  6. Step 6: Final answer
    x = 465,918.63

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Why These Related Problems?

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