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Finding the Fourth Proportional to 277,363.80, 414,992.70 and 184,051.80

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Solution

The fourth proportional to 277,363.80, 414,992.70 and 184,051.80 is: 275,378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,363.80 : 414,992.70 = 184,051.80 : x
  2. Step 2: Convert to fraction form
    277,363.80/414,992.70 = 184,051.80/x
  3. Step 3: Cross multiply
    277,363.80x = 414,992.70 × 184,051.80
  4. Step 4: Simplify right side
    277,363.80x = 76,380,153,421.86
  5. Step 5: Solve for x
    x = 76,380,153,421.86/277,363.80
  6. Step 6: Final answer
    x = 275,378.96

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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.