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Finding the Fourth Proportional to 305,501.38, 421,572.84 and 184,571.20

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Solution

The fourth proportional to 305,501.38, 421,572.84 and 184,571.20 is: 254,696.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,501.38 : 421,572.84 = 184,571.20 : x
  2. Step 2: Convert to fraction form
    305,501.38/421,572.84 = 184,571.20/x
  3. Step 3: Cross multiply
    305,501.38x = 421,572.84 × 184,571.20
  4. Step 4: Simplify right side
    305,501.38x = 77,810,204,966.21
  5. Step 5: Solve for x
    x = 77,810,204,966.21/305,501.38
  6. Step 6: Final answer
    x = 254,696.74

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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.