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Finding the Fourth Proportional to 299,381.80, 413,238.46 and 184,696.14

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Solution

The fourth proportional to 299,381.80, 413,238.46 and 184,696.14 is: 254,937.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,381.80 : 413,238.46 = 184,696.14 : x
  2. Step 2: Convert to fraction form
    299,381.80/413,238.46 = 184,696.14/x
  3. Step 3: Cross multiply
    299,381.80x = 413,238.46 × 184,696.14
  4. Step 4: Simplify right side
    299,381.80x = 76,323,548,461.54
  5. Step 5: Solve for x
    x = 76,323,548,461.54/299,381.80
  6. Step 6: Final answer
    x = 254,937.17

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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.