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Finding the Fourth Proportional to 380,808, 525,515.04 and 211,067.64

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Solution

The fourth proportional to 380,808, 525,515.04 and 211,067.64 is: 291,273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,808 : 525,515.04 = 211,067.64 : x
  2. Step 2: Convert to fraction form
    380,808/525,515.04 = 211,067.64/x
  3. Step 3: Cross multiply
    380,808x = 525,515.04 × 211,067.64
  4. Step 4: Simplify right side
    380,808x = 110,919,219,277.31
  5. Step 5: Solve for x
    x = 110,919,219,277.31/380,808
  6. Step 6: Final answer
    x = 291,273.34

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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.