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Finding the Fourth Proportional to 298,762.48, 412,286.91 and 162,797.38

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Solution

The fourth proportional to 298,762.48, 412,286.91 and 162,797.38 is: 224,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,762.48 : 412,286.91 = 162,797.38 : x
  2. Step 2: Convert to fraction form
    298,762.48/412,286.91 = 162,797.38/x
  3. Step 3: Cross multiply
    298,762.48x = 412,286.91 × 162,797.38
  4. Step 4: Simplify right side
    298,762.48x = 67,119,228,756.30
  5. Step 5: Solve for x
    x = 67,119,228,756.30/298,762.48
  6. Step 6: Final answer
    x = 224,657.49

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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.