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Finding the Fourth Proportional to 277,821.78, 383,394.03 and 150,497.34

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Solution

The fourth proportional to 277,821.78, 383,394.03 and 150,497.34 is: 207,686.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,821.78 : 383,394.03 = 150,497.34 : x
  2. Step 2: Convert to fraction form
    277,821.78/383,394.03 = 150,497.34/x
  3. Step 3: Cross multiply
    277,821.78x = 383,394.03 × 150,497.34
  4. Step 4: Simplify right side
    277,821.78x = 57,699,781,686.88
  5. Step 5: Solve for x
    x = 57,699,781,686.88/277,821.78
  6. Step 6: Final answer
    x = 207,686.31

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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.