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Finding the Fourth Proportional to 277,744.16, 383,286.57 and 150,420.26

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Solution

The fourth proportional to 277,744.16, 383,286.57 and 150,420.26 is: 207,579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,744.16 : 383,286.57 = 150,420.26 : x
  2. Step 2: Convert to fraction form
    277,744.16/383,286.57 = 150,420.26/x
  3. Step 3: Cross multiply
    277,744.16x = 383,286.57 × 150,420.26
  4. Step 4: Simplify right side
    277,744.16x = 57,654,063,597.48
  5. Step 5: Solve for x
    x = 57,654,063,597.48/277,744.16
  6. Step 6: Final answer
    x = 207,579.75

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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.