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Finding the Fourth Proportional to 327,570.72, 452,010.96 and 184,380

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Solution

The fourth proportional to 327,570.72, 452,010.96 and 184,380 is: 254,423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,570.72 : 452,010.96 = 184,380 : x
  2. Step 2: Convert to fraction form
    327,570.72/452,010.96 = 184,380/x
  3. Step 3: Cross multiply
    327,570.72x = 452,010.96 × 184,380
  4. Step 4: Simplify right side
    327,570.72x = 83,341,780,804.80
  5. Step 5: Solve for x
    x = 83,341,780,804.80/327,570.72
  6. Step 6: Final answer
    x = 254,423.78

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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.