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Finding the Fourth Proportional to 277,749.92, 416,591.94 and 72,570.98

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Solution

The fourth proportional to 277,749.92, 416,591.94 and 72,570.98 is: 108,847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,749.92 : 416,591.94 = 72,570.98 : x
  2. Step 2: Convert to fraction form
    277,749.92/416,591.94 = 72,570.98/x
  3. Step 3: Cross multiply
    277,749.92x = 416,591.94 × 72,570.98
  4. Step 4: Simplify right side
    277,749.92x = 30,232,485,345.90
  5. Step 5: Solve for x
    x = 30,232,485,345.90/277,749.92
  6. Step 6: Final answer
    x = 108,847.86

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Why These Related Problems?

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