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Finding the Fourth Proportional to 301,309.85, 415,806.45 and 165,346.08

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Solution

The fourth proportional to 301,309.85, 415,806.45 and 165,346.08 is: 228,176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,309.85 : 415,806.45 = 165,346.08 : x
  2. Step 2: Convert to fraction form
    301,309.85/415,806.45 = 165,346.08/x
  3. Step 3: Cross multiply
    301,309.85x = 415,806.45 × 165,346.08
  4. Step 4: Simplify right side
    301,309.85x = 68,751,966,546.22
  5. Step 5: Solve for x
    x = 68,751,966,546.22/301,309.85
  6. Step 6: Final answer
    x = 228,176.97

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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.