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Finding the Fourth Proportional to 378,219.36, 521,941.14 and 208,453.08

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Solution

The fourth proportional to 378,219.36, 521,941.14 and 208,453.08 is: 287,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,219.36 : 521,941.14 = 208,453.08 : x
  2. Step 2: Convert to fraction form
    378,219.36/521,941.14 = 208,453.08/x
  3. Step 3: Cross multiply
    378,219.36x = 521,941.14 × 208,453.08
  4. Step 4: Simplify right side
    378,219.36x = 108,800,238,211.71
  5. Step 5: Solve for x
    x = 108,800,238,211.71/378,219.36
  6. Step 6: Final answer
    x = 287,664.38

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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.