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Finding the Fourth Proportional to 277,656.63, 416,484.94 and 67,294.57

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Solution

The fourth proportional to 277,656.63, 416,484.94 and 67,294.57 is: 100,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,656.63 : 416,484.94 = 67,294.57 : x
  2. Step 2: Convert to fraction form
    277,656.63/416,484.94 = 67,294.57/x
  3. Step 3: Cross multiply
    277,656.63x = 416,484.94 × 67,294.57
  4. Step 4: Simplify right side
    277,656.63x = 28,027,174,948.78
  5. Step 5: Solve for x
    x = 28,027,174,948.78/277,656.63
  6. Step 6: Final answer
    x = 100,941.85

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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.