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Finding the Fourth Proportional to 491,964.54, 678,914.82 and 277,084.50

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Solution

The fourth proportional to 491,964.54, 678,914.82 and 277,084.50 is: 382,378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,964.54 : 678,914.82 = 277,084.50 : x
  2. Step 2: Convert to fraction form
    491,964.54/678,914.82 = 277,084.50/x
  3. Step 3: Cross multiply
    491,964.54x = 678,914.82 × 277,084.50
  4. Step 4: Simplify right side
    491,964.54x = 188,116,773,442.29
  5. Step 5: Solve for x
    x = 188,116,773,442.29/491,964.54
  6. Step 6: Final answer
    x = 382,378.72

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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.