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Finding the Fourth Proportional to 277,639.34, 416,484.42 and 77,958.38

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Solution

The fourth proportional to 277,639.34, 416,484.42 and 77,958.38 is: 116,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,639.34 : 416,484.42 = 77,958.38 : x
  2. Step 2: Convert to fraction form
    277,639.34/416,484.42 = 77,958.38/x
  3. Step 3: Cross multiply
    277,639.34x = 416,484.42 × 77,958.38
  4. Step 4: Simplify right side
    277,639.34x = 32,468,450,450.18
  5. Step 5: Solve for x
    x = 32,468,450,450.18/277,639.34
  6. Step 6: Final answer
    x = 116,944.70

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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.