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Finding the Fourth Proportional to 809,164.22, 1,213,358.67 and 382,344.84

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Solution

The fourth proportional to 809,164.22, 1,213,358.67 and 382,344.84 is: 573,334.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,164.22 : 1,213,358.67 = 382,344.84 : x
  2. Step 2: Convert to fraction form
    809,164.22/1,213,358.67 = 382,344.84/x
  3. Step 3: Cross multiply
    809,164.22x = 1,213,358.67 × 382,344.84
  4. Step 4: Simplify right side
    809,164.22x = 463,921,426,543.76
  5. Step 5: Solve for x
    x = 463,921,426,543.76/809,164.22
  6. Step 6: Final answer
    x = 573,334.09

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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.