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Finding the Fourth Proportional to 277,533.46, 382,996.17 and 150,209.06

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Solution

The fourth proportional to 277,533.46, 382,996.17 and 150,209.06 is: 207,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,533.46 : 382,996.17 = 150,209.06 : x
  2. Step 2: Convert to fraction form
    277,533.46/382,996.17 = 150,209.06/x
  3. Step 3: Cross multiply
    277,533.46x = 382,996.17 × 150,209.06
  4. Step 4: Simplify right side
    277,533.46x = 57,529,494,679.30
  5. Step 5: Solve for x
    x = 57,529,494,679.30/277,533.46
  6. Step 6: Final answer
    x = 207,288.50

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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.