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Finding the Fourth Proportional to 381,185.41, 525,947.58 and 228,165.45

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Solution

The fourth proportional to 381,185.41, 525,947.58 and 228,165.45 is: 314,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,185.41 : 525,947.58 = 228,165.45 : x
  2. Step 2: Convert to fraction form
    381,185.41/525,947.58 = 228,165.45/x
  3. Step 3: Cross multiply
    381,185.41x = 525,947.58 × 228,165.45
  4. Step 4: Simplify right side
    381,185.41x = 120,003,066,267.11
  5. Step 5: Solve for x
    x = 120,003,066,267.11/381,185.41
  6. Step 6: Final answer
    x = 314,815.48

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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.