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Finding the Fourth Proportional to 277,706.48, 383,236.11 and 150,382.17

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Solution

The fourth proportional to 277,706.48, 383,236.11 and 150,382.17 is: 207,528.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,706.48 : 383,236.11 = 150,382.17 : x
  2. Step 2: Convert to fraction form
    277,706.48/383,236.11 = 150,382.17/x
  3. Step 3: Cross multiply
    277,706.48x = 383,236.11 × 150,382.17
  4. Step 4: Simplify right side
    277,706.48x = 57,631,877,844.16
  5. Step 5: Solve for x
    x = 57,631,877,844.16/277,706.48
  6. Step 6: Final answer
    x = 207,528.03

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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.