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Finding the Fourth Proportional to 277,656.56, 416,484.85 and 67,294.49

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Solution

The fourth proportional to 277,656.56, 416,484.85 and 67,294.49 is: 100,941.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,656.56 : 416,484.85 = 67,294.49 : x
  2. Step 2: Convert to fraction form
    277,656.56/416,484.85 = 67,294.49/x
  3. Step 3: Cross multiply
    277,656.56x = 416,484.85 × 67,294.49
  4. Step 4: Simplify right side
    277,656.56x = 28,027,135,573.48
  5. Step 5: Solve for x
    x = 28,027,135,573.48/277,656.56
  6. Step 6: Final answer
    x = 100,941.74

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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.