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Finding the Fourth Proportional to 381,186.41, 525,948.96 and 228,166.45

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Solution

The fourth proportional to 381,186.41, 525,948.96 and 228,166.45 is: 314,816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,186.41 : 525,948.96 = 228,166.45 : x
  2. Step 2: Convert to fraction form
    381,186.41/525,948.96 = 228,166.45/x
  3. Step 3: Cross multiply
    381,186.41x = 525,948.96 × 228,166.45
  4. Step 4: Simplify right side
    381,186.41x = 120,003,907,084.39
  5. Step 5: Solve for x
    x = 120,003,907,084.39/381,186.41
  6. Step 6: Final answer
    x = 314,816.86

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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.