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Finding the Fourth Proportional to 298,716.62, 412,226.63 and 162,750.14

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Solution

The fourth proportional to 298,716.62, 412,226.63 and 162,750.14 is: 224,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,716.62 : 412,226.63 = 162,750.14 : x
  2. Step 2: Convert to fraction form
    298,716.62/412,226.63 = 162,750.14/x
  3. Step 3: Cross multiply
    298,716.62x = 412,226.63 × 162,750.14
  4. Step 4: Simplify right side
    298,716.62x = 67,089,938,869.34
  5. Step 5: Solve for x
    x = 67,089,938,869.34/298,716.62
  6. Step 6: Final answer
    x = 224,593.93

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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.