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Finding the Fourth Proportional to 301,408.50, 415,943.73 and 167,272.50

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Solution

The fourth proportional to 301,408.50, 415,943.73 and 167,272.50 is: 230,836.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,408.50 : 415,943.73 = 167,272.50 : x
  2. Step 2: Convert to fraction form
    301,408.50/415,943.73 = 167,272.50/x
  3. Step 3: Cross multiply
    301,408.50x = 415,943.73 × 167,272.50
  4. Step 4: Simplify right side
    301,408.50x = 69,575,947,576.43
  5. Step 5: Solve for x
    x = 69,575,947,576.43/301,408.50
  6. Step 6: Final answer
    x = 230,836.05

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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.