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Finding the Fourth Proportional to 419,046.84, 578,283.48 and 228,060.36

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Solution

The fourth proportional to 419,046.84, 578,283.48 and 228,060.36 is: 314,722.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,046.84 : 578,283.48 = 228,060.36 : x
  2. Step 2: Convert to fraction form
    419,046.84/578,283.48 = 228,060.36/x
  3. Step 3: Cross multiply
    419,046.84x = 578,283.48 × 228,060.36
  4. Step 4: Simplify right side
    419,046.84x = 131,883,538,630.85
  5. Step 5: Solve for x
    x = 131,883,538,630.85/419,046.84
  6. Step 6: Final answer
    x = 314,722.67

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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.