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Finding the Fourth Proportional to 335,697.05, 463,359.76 and 219,427.42

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Solution

The fourth proportional to 335,697.05, 463,359.76 and 219,427.42 is: 302,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,697.05 : 463,359.76 = 219,427.42 : x
  2. Step 2: Convert to fraction form
    335,697.05/463,359.76 = 219,427.42/x
  3. Step 3: Cross multiply
    335,697.05x = 463,359.76 × 219,427.42
  4. Step 4: Simplify right side
    335,697.05x = 101,673,833,254.68
  5. Step 5: Solve for x
    x = 101,673,833,254.68/335,697.05
  6. Step 6: Final answer
    x = 302,873.78

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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.