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Finding the Fourth Proportional to 317,669.82, 476,364.81 and 149,238.01

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Solution

The fourth proportional to 317,669.82, 476,364.81 and 149,238.01 is: 223,791.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,669.82 : 476,364.81 = 149,238.01 : x
  2. Step 2: Convert to fraction form
    317,669.82/476,364.81 = 149,238.01/x
  3. Step 3: Cross multiply
    317,669.82x = 476,364.81 × 149,238.01
  4. Step 4: Simplify right side
    317,669.82x = 71,091,737,433.53
  5. Step 5: Solve for x
    x = 71,091,737,433.53/317,669.82
  6. Step 6: Final answer
    x = 223,791.29

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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.