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Finding the Fourth Proportional to 277,599, 383,086.68 and 150,275.64

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Solution

The fourth proportional to 277,599, 383,086.68 and 150,275.64 is: 207,380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,599 : 383,086.68 = 150,275.64 : x
  2. Step 2: Convert to fraction form
    277,599/383,086.68 = 150,275.64/x
  3. Step 3: Cross multiply
    277,599x = 383,086.68 × 150,275.64
  4. Step 4: Simplify right side
    277,599x = 57,568,596,012.48
  5. Step 5: Solve for x
    x = 57,568,596,012.48/277,599
  6. Step 6: Final answer
    x = 207,380.42

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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.