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Finding the Fourth Proportional to 301,090.44, 451,492.65 and 174,769.66

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Solution

The fourth proportional to 301,090.44, 451,492.65 and 174,769.66 is: 262,071.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,090.44 : 451,492.65 = 174,769.66 : x
  2. Step 2: Convert to fraction form
    301,090.44/451,492.65 = 174,769.66/x
  3. Step 3: Cross multiply
    301,090.44x = 451,492.65 × 174,769.66
  4. Step 4: Simplify right side
    301,090.44x = 78,907,218,500.94
  5. Step 5: Solve for x
    x = 78,907,218,500.94/301,090.44
  6. Step 6: Final answer
    x = 262,071.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.