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Finding the Fourth Proportional to 277,660.42, 416,490.68 and 67,298.38

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Solution

The fourth proportional to 277,660.42, 416,490.68 and 67,298.38 is: 100,947.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,660.42 : 416,490.68 = 67,298.38 : x
  2. Step 2: Convert to fraction form
    277,660.42/416,490.68 = 67,298.38/x
  3. Step 3: Cross multiply
    277,660.42x = 416,490.68 × 67,298.38
  4. Step 4: Simplify right side
    277,660.42x = 28,029,148,049.10
  5. Step 5: Solve for x
    x = 28,029,148,049.10/277,660.42
  6. Step 6: Final answer
    x = 100,947.58

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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.