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Finding the Fourth Proportional to 380,339.48, 524,868.52 and 208,268.30

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Solution

The fourth proportional to 380,339.48, 524,868.52 and 208,268.30 is: 287,410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,339.48 : 524,868.52 = 208,268.30 : x
  2. Step 2: Convert to fraction form
    380,339.48/524,868.52 = 208,268.30/x
  3. Step 3: Cross multiply
    380,339.48x = 524,868.52 × 208,268.30
  4. Step 4: Simplify right side
    380,339.48x = 109,313,474,383.92
  5. Step 5: Solve for x
    x = 109,313,474,383.92/380,339.48
  6. Step 6: Final answer
    x = 287,410.27

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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.