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Finding the Fourth Proportional to 299,078.30, 412,866.26 and 184,377.44

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Solution

The fourth proportional to 299,078.30, 412,866.26 and 184,377.44 is: 254,526.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,078.30 : 412,866.26 = 184,377.44 : x
  2. Step 2: Convert to fraction form
    299,078.30/412,866.26 = 184,377.44/x
  3. Step 3: Cross multiply
    299,078.30x = 412,866.26 × 184,377.44
  4. Step 4: Simplify right side
    299,078.30x = 76,123,224,081.17
  5. Step 5: Solve for x
    x = 76,123,224,081.17/299,078.30
  6. Step 6: Final answer
    x = 254,526.07

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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.