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Finding the Fourth Proportional to 301,693.82, 416,344.05 and 165,729.65

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Solution

The fourth proportional to 301,693.82, 416,344.05 and 165,729.65 is: 228,710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,693.82 : 416,344.05 = 165,729.65 : x
  2. Step 2: Convert to fraction form
    301,693.82/416,344.05 = 165,729.65/x
  3. Step 3: Cross multiply
    301,693.82x = 416,344.05 × 165,729.65
  4. Step 4: Simplify right side
    301,693.82x = 69,000,551,604.36
  5. Step 5: Solve for x
    x = 69,000,551,604.36/301,693.82
  6. Step 6: Final answer
    x = 228,710.53

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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.