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Finding the Fourth Proportional to 464,627.30, 641,410.97 and 311,609.52

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Solution

The fourth proportional to 464,627.30, 641,410.97 and 311,609.52 is: 430,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,627.30 : 641,410.97 = 311,609.52 : x
  2. Step 2: Convert to fraction form
    464,627.30/641,410.97 = 311,609.52/x
  3. Step 3: Cross multiply
    464,627.30x = 641,410.97 × 311,609.52
  4. Step 4: Simplify right side
    464,627.30x = 199,869,764,484.43
  5. Step 5: Solve for x
    x = 199,869,764,484.43/464,627.30
  6. Step 6: Final answer
    x = 430,172.24

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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.