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Finding the Fourth Proportional to 380,111.14, 524,546.67 and 218,965.69

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Solution

The fourth proportional to 380,111.14, 524,546.67 and 218,965.69 is: 302,168.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,111.14 : 524,546.67 = 218,965.69 : x
  2. Step 2: Convert to fraction form
    380,111.14/524,546.67 = 218,965.69/x
  3. Step 3: Cross multiply
    380,111.14x = 524,546.67 × 218,965.69
  4. Step 4: Simplify right side
    380,111.14x = 114,857,723,043.51
  5. Step 5: Solve for x
    x = 114,857,723,043.51/380,111.14
  6. Step 6: Final answer
    x = 302,168.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.