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Finding the Fourth Proportional to 317,051.24, 475,438.56 and 119,921

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Solution

The fourth proportional to 317,051.24, 475,438.56 and 119,921 is: 179,829.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,051.24 : 475,438.56 = 119,921 : x
  2. Step 2: Convert to fraction form
    317,051.24/475,438.56 = 119,921/x
  3. Step 3: Cross multiply
    317,051.24x = 475,438.56 × 119,921
  4. Step 4: Simplify right side
    317,051.24x = 57,015,067,553.76
  5. Step 5: Solve for x
    x = 57,015,067,553.76/317,051.24
  6. Step 6: Final answer
    x = 179,829.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.