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Finding the Fourth Proportional to 277,355.80, 414,980.70 and 184,043.80

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Solution

The fourth proportional to 277,355.80, 414,980.70 and 184,043.80 is: 275,366.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,355.80 : 414,980.70 = 184,043.80 : x
  2. Step 2: Convert to fraction form
    277,355.80/414,980.70 = 184,043.80/x
  3. Step 3: Cross multiply
    277,355.80x = 414,980.70 × 184,043.80
  4. Step 4: Simplify right side
    277,355.80x = 76,374,624,954.66
  5. Step 5: Solve for x
    x = 76,374,624,954.66/277,355.80
  6. Step 6: Final answer
    x = 275,366.97

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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.