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Finding the Fourth Proportional to 468,097, 701,724.01 and 168,366.89

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Solution

The fourth proportional to 468,097, 701,724.01 and 168,366.89 is: 252,398.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,097 : 701,724.01 = 168,366.89 : x
  2. Step 2: Convert to fraction form
    468,097/701,724.01 = 168,366.89/x
  3. Step 3: Cross multiply
    468,097x = 701,724.01 × 168,366.89
  4. Step 4: Simplify right side
    468,097x = 118,147,089,202.03
  5. Step 5: Solve for x
    x = 118,147,089,202.03/468,097
  6. Step 6: Final answer
    x = 252,398.73

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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.