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Finding the Fourth Proportional to 298,706.41, 412,202.95 and 162,741.43

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Solution

The fourth proportional to 298,706.41, 412,202.95 and 162,741.43 is: 224,576.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,706.41 : 412,202.95 = 162,741.43 : x
  2. Step 2: Convert to fraction form
    298,706.41/412,202.95 = 162,741.43/x
  3. Step 3: Cross multiply
    298,706.41x = 412,202.95 × 162,741.43
  4. Step 4: Simplify right side
    298,706.41x = 67,082,497,533.22
  5. Step 5: Solve for x
    x = 67,082,497,533.22/298,706.41
  6. Step 6: Final answer
    x = 224,576.69

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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.