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Finding the Fourth Proportional to 327,567.72, 452,006.82 and 184,377

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Solution

The fourth proportional to 327,567.72, 452,006.82 and 184,377 is: 254,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,567.72 : 452,006.82 = 184,377 : x
  2. Step 2: Convert to fraction form
    327,567.72/452,006.82 = 184,377/x
  3. Step 3: Cross multiply
    327,567.72x = 452,006.82 × 184,377
  4. Step 4: Simplify right side
    327,567.72x = 83,339,661,451.14
  5. Step 5: Solve for x
    x = 83,339,661,451.14/327,567.72
  6. Step 6: Final answer
    x = 254,419.64

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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.