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Finding the Fourth Proportional to 523,224.33, 784,918.76 and 223,706.49

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Solution

The fourth proportional to 523,224.33, 784,918.76 and 223,706.49 is: 335,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,224.33 : 784,918.76 = 223,706.49 : x
  2. Step 2: Convert to fraction form
    523,224.33/784,918.76 = 223,706.49/x
  3. Step 3: Cross multiply
    523,224.33x = 784,918.76 × 223,706.49
  4. Step 4: Simplify right side
    523,224.33x = 175,591,419,616.22
  5. Step 5: Solve for x
    x = 175,591,419,616.22/523,224.33
  6. Step 6: Final answer
    x = 335,594.91

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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.