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Finding the Fourth Proportional to 301,441.26, 415,962.84 and 165,474.72

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Solution

The fourth proportional to 301,441.26, 415,962.84 and 165,474.72 is: 228,340.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,441.26 : 415,962.84 = 165,474.72 : x
  2. Step 2: Convert to fraction form
    301,441.26/415,962.84 = 165,474.72/x
  3. Step 3: Cross multiply
    301,441.26x = 415,962.84 × 165,474.72
  4. Step 4: Simplify right side
    301,441.26x = 68,831,334,479.40
  5. Step 5: Solve for x
    x = 68,831,334,479.40/301,441.26
  6. Step 6: Final answer
    x = 228,340.79

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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.