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Finding the Fourth Proportional to 277,384.32, 415,826.79 and 99,766.50

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Solution

The fourth proportional to 277,384.32, 415,826.79 and 99,766.50 is: 149,559.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,384.32 : 415,826.79 = 99,766.50 : x
  2. Step 2: Convert to fraction form
    277,384.32/415,826.79 = 99,766.50/x
  3. Step 3: Cross multiply
    277,384.32x = 415,826.79 × 99,766.50
  4. Step 4: Simplify right side
    277,384.32x = 41,485,583,444.54
  5. Step 5: Solve for x
    x = 41,485,583,444.54/277,384.32
  6. Step 6: Final answer
    x = 149,559.94

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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.