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Finding the Fourth Proportional to 380,418.52, 524,993.39 and 210,652.65

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Solution

The fourth proportional to 380,418.52, 524,993.39 and 210,652.65 is: 290,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,418.52 : 524,993.39 = 210,652.65 : x
  2. Step 2: Convert to fraction form
    380,418.52/524,993.39 = 210,652.65/x
  3. Step 3: Cross multiply
    380,418.52x = 524,993.39 × 210,652.65
  4. Step 4: Simplify right side
    380,418.52x = 110,591,248,835.98
  5. Step 5: Solve for x
    x = 110,591,248,835.98/380,418.52
  6. Step 6: Final answer
    x = 290,709.42

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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.