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Finding the Fourth Proportional to 277,657.93, 416,486.91 and 67,295.87

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Solution

The fourth proportional to 277,657.93, 416,486.91 and 67,295.87 is: 100,943.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,657.93 : 416,486.91 = 67,295.87 : x
  2. Step 2: Convert to fraction form
    277,657.93/416,486.91 = 67,295.87/x
  3. Step 3: Cross multiply
    277,657.93x = 416,486.91 × 67,295.87
  4. Step 4: Simplify right side
    277,657.93x = 28,027,848,683.81
  5. Step 5: Solve for x
    x = 28,027,848,683.81/277,657.93
  6. Step 6: Final answer
    x = 100,943.81

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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.