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Finding the Fourth Proportional to 380,231.12, 524,672.88 and 219,138.32

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Solution

The fourth proportional to 380,231.12, 524,672.88 and 219,138.32 is: 302,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,231.12 : 524,672.88 = 219,138.32 : x
  2. Step 2: Convert to fraction form
    380,231.12/524,672.88 = 219,138.32/x
  3. Step 3: Cross multiply
    380,231.12x = 524,672.88 × 219,138.32
  4. Step 4: Simplify right side
    380,231.12x = 114,975,933,472.76
  5. Step 5: Solve for x
    x = 114,975,933,472.76/380,231.12
  6. Step 6: Final answer
    x = 302,384.33

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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.