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Finding the Fourth Proportional to 380,204.94, 524,799.74 and 219,167.63

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Solution

The fourth proportional to 380,204.94, 524,799.74 and 219,167.63 is: 302,518.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,204.94 : 524,799.74 = 219,167.63 : x
  2. Step 2: Convert to fraction form
    380,204.94/524,799.74 = 219,167.63/x
  3. Step 3: Cross multiply
    380,204.94x = 524,799.74 × 219,167.63
  4. Step 4: Simplify right side
    380,204.94x = 115,019,115,240.42
  5. Step 5: Solve for x
    x = 115,019,115,240.42/380,204.94
  6. Step 6: Final answer
    x = 302,518.73

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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.