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Finding the Fourth Proportional to 378,838.14, 522,794.22 and 209,072.28

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Solution

The fourth proportional to 378,838.14, 522,794.22 and 209,072.28 is: 288,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,838.14 : 522,794.22 = 209,072.28 : x
  2. Step 2: Convert to fraction form
    378,838.14/522,794.22 = 209,072.28/x
  3. Step 3: Cross multiply
    378,838.14x = 522,794.22 × 209,072.28
  4. Step 4: Simplify right side
    378,838.14x = 109,301,779,546.22
  5. Step 5: Solve for x
    x = 109,301,779,546.22/378,838.14
  6. Step 6: Final answer
    x = 288,518.41

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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.