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Finding the Fourth Proportional to 380,194.38, 524,785.14 and 219,157.11

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Solution

The fourth proportional to 380,194.38, 524,785.14 and 219,157.11 is: 302,504.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,194.38 : 524,785.14 = 219,157.11 : x
  2. Step 2: Convert to fraction form
    380,194.38/524,785.14 = 219,157.11/x
  3. Step 3: Cross multiply
    380,194.38x = 524,785.14 × 219,157.11
  4. Step 4: Simplify right side
    380,194.38x = 115,010,394,653.35
  5. Step 5: Solve for x
    x = 115,010,394,653.35/380,194.38
  6. Step 6: Final answer
    x = 302,504.19

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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.