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Finding the Fourth Proportional to 277,657.56, 416,486.34 and 67,295.49

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Solution

The fourth proportional to 277,657.56, 416,486.34 and 67,295.49 is: 100,943.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,657.56 : 416,486.34 = 67,295.49 : x
  2. Step 2: Convert to fraction form
    277,657.56/416,486.34 = 67,295.49/x
  3. Step 3: Cross multiply
    277,657.56x = 416,486.34 × 67,295.49
  4. Step 4: Simplify right side
    277,657.56x = 28,027,652,328.61
  5. Step 5: Solve for x
    x = 28,027,652,328.61/277,657.56
  6. Step 6: Final answer
    x = 100,943.24

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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.