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Finding the Fourth Proportional to 380,294.67, 524,652.84 and 219,063.36

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Solution

The fourth proportional to 380,294.67, 524,652.84 and 219,063.36 is: 302,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,294.67 : 524,652.84 = 219,063.36 : x
  2. Step 2: Convert to fraction form
    380,294.67/524,652.84 = 219,063.36/x
  3. Step 3: Cross multiply
    380,294.67x = 524,652.84 × 219,063.36
  4. Step 4: Simplify right side
    380,294.67x = 114,932,213,963.94
  5. Step 5: Solve for x
    x = 114,932,213,963.94/380,294.67
  6. Step 6: Final answer
    x = 302,218.84

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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.