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Finding the Fourth Proportional to 342,006.80, 513,010.20 and 184,542.80

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Solution

The fourth proportional to 342,006.80, 513,010.20 and 184,542.80 is: 276,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,006.80 : 513,010.20 = 184,542.80 : x
  2. Step 2: Convert to fraction form
    342,006.80/513,010.20 = 184,542.80/x
  3. Step 3: Cross multiply
    342,006.80x = 513,010.20 × 184,542.80
  4. Step 4: Simplify right side
    342,006.80x = 94,672,338,736.56
  5. Step 5: Solve for x
    x = 94,672,338,736.56/342,006.80
  6. Step 6: Final answer
    x = 276,814.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.