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Finding the Fourth Proportional to 327,894.30, 452,495.79 and 184,656.78

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Solution

The fourth proportional to 327,894.30, 452,495.79 and 184,656.78 is: 254,827.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,894.30 : 452,495.79 = 184,656.78 : x
  2. Step 2: Convert to fraction form
    327,894.30/452,495.79 = 184,656.78/x
  3. Step 3: Cross multiply
    327,894.30x = 452,495.79 × 184,656.78
  4. Step 4: Simplify right side
    327,894.30x = 83,556,415,544.96
  5. Step 5: Solve for x
    x = 83,556,415,544.96/327,894.30
  6. Step 6: Final answer
    x = 254,827.29

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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.