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Finding the Fourth Proportional to 491,906.40, 678,833.09 and 277,050.05

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Solution

The fourth proportional to 491,906.40, 678,833.09 and 277,050.05 is: 382,330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,906.40 : 678,833.09 = 277,050.05 : x
  2. Step 2: Convert to fraction form
    491,906.40/678,833.09 = 277,050.05/x
  3. Step 3: Cross multiply
    491,906.40x = 678,833.09 × 277,050.05
  4. Step 4: Simplify right side
    491,906.40x = 188,070,741,526.15
  5. Step 5: Solve for x
    x = 188,070,741,526.15/491,906.40
  6. Step 6: Final answer
    x = 382,330.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.