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Finding the Fourth Proportional to 381,078.30, 525,850.15 and 219,985.24

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Solution

The fourth proportional to 381,078.30, 525,850.15 and 219,985.24 is: 303,557.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,078.30 : 525,850.15 = 219,985.24 : x
  2. Step 2: Convert to fraction form
    381,078.30/525,850.15 = 219,985.24/x
  3. Step 3: Cross multiply
    381,078.30x = 525,850.15 × 219,985.24
  4. Step 4: Simplify right side
    381,078.30x = 115,679,271,451.79
  5. Step 5: Solve for x
    x = 115,679,271,451.79/381,078.30
  6. Step 6: Final answer
    x = 303,557.75

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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.