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Finding the Fourth Proportional to 436,447.54, 654,074.11 and 329,743.81

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Solution

The fourth proportional to 436,447.54, 654,074.11 and 329,743.81 is: 494,164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,447.54 : 654,074.11 = 329,743.81 : x
  2. Step 2: Convert to fraction form
    436,447.54/654,074.11 = 329,743.81/x
  3. Step 3: Cross multiply
    436,447.54x = 654,074.11 × 329,743.81
  4. Step 4: Simplify right side
    436,447.54x = 215,676,889,053.76
  5. Step 5: Solve for x
    x = 215,676,889,053.76/436,447.54
  6. Step 6: Final answer
    x = 494,164.52

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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.