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Finding the Fourth Proportional to 380,120.44, 524,559.54 and 218,975

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Solution

The fourth proportional to 380,120.44, 524,559.54 and 218,975 is: 302,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,120.44 : 524,559.54 = 218,975 : x
  2. Step 2: Convert to fraction form
    380,120.44/524,559.54 = 218,975/x
  3. Step 3: Cross multiply
    380,120.44x = 524,559.54 × 218,975
  4. Step 4: Simplify right side
    380,120.44x = 114,865,425,271.50
  5. Step 5: Solve for x
    x = 114,865,425,271.50/380,120.44
  6. Step 6: Final answer
    x = 302,181.66

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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.