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Finding the Fourth Proportional to 277,664.56, 416,496.86 and 67,302.49

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Solution

The fourth proportional to 277,664.56, 416,496.86 and 67,302.49 is: 100,953.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,664.56 : 416,496.86 = 67,302.49 : x
  2. Step 2: Convert to fraction form
    277,664.56/416,496.86 = 67,302.49/x
  3. Step 3: Cross multiply
    277,664.56x = 416,496.86 × 67,302.49
  4. Step 4: Simplify right side
    277,664.56x = 28,031,275,755.18
  5. Step 5: Solve for x
    x = 28,031,275,755.18/277,664.56
  6. Step 6: Final answer
    x = 100,953.74

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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.