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Finding the Fourth Proportional to 380,279.10, 524,791.37 and 208,194.19

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Solution

The fourth proportional to 380,279.10, 524,791.37 and 208,194.19 is: 287,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,279.10 : 524,791.37 = 208,194.19 : x
  2. Step 2: Convert to fraction form
    380,279.10/524,791.37 = 208,194.19/x
  3. Step 3: Cross multiply
    380,279.10x = 524,791.37 × 208,194.19
  4. Step 4: Simplify right side
    380,279.10x = 109,258,514,196.14
  5. Step 5: Solve for x
    x = 109,258,514,196.14/380,279.10
  6. Step 6: Final answer
    x = 287,311.38

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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.