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Finding the Fourth Proportional to 382,232.88, 527,438.52 and 229,277.34

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Solution

The fourth proportional to 382,232.88, 527,438.52 and 229,277.34 is: 316,377.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,232.88 : 527,438.52 = 229,277.34 : x
  2. Step 2: Convert to fraction form
    382,232.88/527,438.52 = 229,277.34/x
  3. Step 3: Cross multiply
    382,232.88x = 527,438.52 × 229,277.34
  4. Step 4: Simplify right side
    382,232.88x = 120,929,700,879.14
  5. Step 5: Solve for x
    x = 120,929,700,879.14/382,232.88
  6. Step 6: Final answer
    x = 316,377.02

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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.