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Finding the Fourth Proportional to 305,448.14, 421,499.22 and 184,517.84

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Solution

The fourth proportional to 305,448.14, 421,499.22 and 184,517.84 is: 254,623.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,448.14 : 421,499.22 = 184,517.84 : x
  2. Step 2: Convert to fraction form
    305,448.14/421,499.22 = 184,517.84/x
  3. Step 3: Cross multiply
    305,448.14x = 421,499.22 × 184,517.84
  4. Step 4: Simplify right side
    305,448.14x = 77,774,125,636.08
  5. Step 5: Solve for x
    x = 77,774,125,636.08/305,448.14
  6. Step 6: Final answer
    x = 254,623.01

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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.