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Finding the Fourth Proportional to 317,676.96, 475,882.70 and 232,467.34

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Solution

The fourth proportional to 317,676.96, 475,882.70 and 232,467.34 is: 348,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,676.96 : 475,882.70 = 232,467.34 : x
  2. Step 2: Convert to fraction form
    317,676.96/475,882.70 = 232,467.34/x
  3. Step 3: Cross multiply
    317,676.96x = 475,882.70 × 232,467.34
  4. Step 4: Simplify right side
    317,676.96x = 110,627,185,299.68
  5. Step 5: Solve for x
    x = 110,627,185,299.68/317,676.96
  6. Step 6: Final answer
    x = 348,237.98

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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.