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Finding the Fourth Proportional to 442,416.38, 610,535.21 and 241,212.38

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Solution

The fourth proportional to 442,416.38, 610,535.21 and 241,212.38 is: 332,873.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,416.38 : 610,535.21 = 241,212.38 : x
  2. Step 2: Convert to fraction form
    442,416.38/610,535.21 = 241,212.38/x
  3. Step 3: Cross multiply
    442,416.38x = 610,535.21 × 241,212.38
  4. Step 4: Simplify right side
    442,416.38x = 147,268,646,819.16
  5. Step 5: Solve for x
    x = 147,268,646,819.16/442,416.38
  6. Step 6: Final answer
    x = 332,873.41

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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.