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Finding the Fourth Proportional to 298,716.11, 412,225.94 and 162,749.64

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Solution

The fourth proportional to 298,716.11, 412,225.94 and 162,749.64 is: 224,593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,716.11 : 412,225.94 = 162,749.64 : x
  2. Step 2: Convert to fraction form
    298,716.11/412,225.94 = 162,749.64/x
  3. Step 3: Cross multiply
    298,716.11x = 412,225.94 × 162,749.64
  4. Step 4: Simplify right side
    298,716.11x = 67,089,623,333.66
  5. Step 5: Solve for x
    x = 67,089,623,333.66/298,716.11
  6. Step 6: Final answer
    x = 224,593.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.