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Finding the Fourth Proportional to 277,945.67, 417,476.33 and 165,844.64

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Solution

The fourth proportional to 277,945.67, 417,476.33 and 165,844.64 is: 249,099.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,945.67 : 417,476.33 = 165,844.64 : x
  2. Step 2: Convert to fraction form
    277,945.67/417,476.33 = 165,844.64/x
  3. Step 3: Cross multiply
    277,945.67x = 417,476.33 × 165,844.64
  4. Step 4: Simplify right side
    277,945.67x = 69,236,211,657.37
  5. Step 5: Solve for x
    x = 69,236,211,657.37/277,945.67
  6. Step 6: Final answer
    x = 249,099.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.