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Finding the Fourth Proportional to 309,462.33, 464,228.19 and 277,676.97

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Solution

The fourth proportional to 309,462.33, 464,228.19 and 277,676.97 is: 416,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,462.33 : 464,228.19 = 277,676.97 : x
  2. Step 2: Convert to fraction form
    309,462.33/464,228.19 = 277,676.97/x
  3. Step 3: Cross multiply
    309,462.33x = 464,228.19 × 277,676.97
  4. Step 4: Simplify right side
    309,462.33x = 128,905,477,187.78
  5. Step 5: Solve for x
    x = 128,905,477,187.78/309,462.33
  6. Step 6: Final answer
    x = 416,546.59

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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.