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Finding the Fourth Proportional to 300,496.38, 414,683.58 and 162,675.42

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Solution

The fourth proportional to 300,496.38, 414,683.58 and 162,675.42 is: 224,491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,496.38 : 414,683.58 = 162,675.42 : x
  2. Step 2: Convert to fraction form
    300,496.38/414,683.58 = 162,675.42/x
  3. Step 3: Cross multiply
    300,496.38x = 414,683.58 × 162,675.42
  4. Step 4: Simplify right side
    300,496.38x = 67,458,825,543.60
  5. Step 5: Solve for x
    x = 67,458,825,543.60/300,496.38
  6. Step 6: Final answer
    x = 224,491.31

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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.