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Finding the Fourth Proportional to 397,906.38, 596,460.39 and 184,823.87

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Solution

The fourth proportional to 397,906.38, 596,460.39 and 184,823.87 is: 277,050.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,906.38 : 596,460.39 = 184,823.87 : x
  2. Step 2: Convert to fraction form
    397,906.38/596,460.39 = 184,823.87/x
  3. Step 3: Cross multiply
    397,906.38x = 596,460.39 × 184,823.87
  4. Step 4: Simplify right side
    397,906.38x = 110,240,114,599.21
  5. Step 5: Solve for x
    x = 110,240,114,599.21/397,906.38
  6. Step 6: Final answer
    x = 277,050.38

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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.