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Finding the Fourth Proportional to 380,204.42, 524,553.98 and 219,055.46

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Solution

The fourth proportional to 380,204.42, 524,553.98 and 219,055.46 is: 302,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,204.42 : 524,553.98 = 219,055.46 : x
  2. Step 2: Convert to fraction form
    380,204.42/524,553.98 = 219,055.46/x
  3. Step 3: Cross multiply
    380,204.42x = 524,553.98 × 219,055.46
  4. Step 4: Simplify right side
    380,204.42x = 114,906,413,383.73
  5. Step 5: Solve for x
    x = 114,906,413,383.73/380,204.42
  6. Step 6: Final answer
    x = 302,222.72

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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.