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Finding the Fourth Proportional to 277,829.86, 383,405.39 and 150,505.96

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Solution

The fourth proportional to 277,829.86, 383,405.39 and 150,505.96 is: 207,698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,829.86 : 383,405.39 = 150,505.96 : x
  2. Step 2: Convert to fraction form
    277,829.86/383,405.39 = 150,505.96/x
  3. Step 3: Cross multiply
    277,829.86x = 383,405.39 × 150,505.96
  4. Step 4: Simplify right side
    277,829.86x = 57,704,796,291.12
  5. Step 5: Solve for x
    x = 57,704,796,291.12/277,829.86
  6. Step 6: Final answer
    x = 207,698.32

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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.