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Finding the Fourth Proportional to 301,488.56, 416,033.40 and 167,342

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Solution

The fourth proportional to 301,488.56, 416,033.40 and 167,342 is: 230,920.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,488.56 : 416,033.40 = 167,342 : x
  2. Step 2: Convert to fraction form
    301,488.56/416,033.40 = 167,342/x
  3. Step 3: Cross multiply
    301,488.56x = 416,033.40 × 167,342
  4. Step 4: Simplify right side
    301,488.56x = 69,619,861,222.80
  5. Step 5: Solve for x
    x = 69,619,861,222.80/301,488.56
  6. Step 6: Final answer
    x = 230,920.41

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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.