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Finding the Fourth Proportional to 277,554, 383,024.58 and 150,230.64

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Solution

The fourth proportional to 277,554, 383,024.58 and 150,230.64 is: 207,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,554 : 383,024.58 = 150,230.64 : x
  2. Step 2: Convert to fraction form
    277,554/383,024.58 = 150,230.64/x
  3. Step 3: Cross multiply
    277,554x = 383,024.58 × 150,230.64
  4. Step 4: Simplify right side
    277,554x = 57,542,027,789.13
  5. Step 5: Solve for x
    x = 57,542,027,789.13/277,554
  6. Step 6: Final answer
    x = 207,318.32

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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.