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Finding the Fourth Proportional to 277,820.55, 416,731.29 and 67,458.48

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Solution

The fourth proportional to 277,820.55, 416,731.29 and 67,458.48 is: 101,187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,820.55 : 416,731.29 = 67,458.48 : x
  2. Step 2: Convert to fraction form
    277,820.55/416,731.29 = 67,458.48/x
  3. Step 3: Cross multiply
    277,820.55x = 416,731.29 × 67,458.48
  4. Step 4: Simplify right side
    277,820.55x = 28,112,059,391.84
  5. Step 5: Solve for x
    x = 28,112,059,391.84/277,820.55
  6. Step 6: Final answer
    x = 101,187.83

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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.