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Finding the Fourth Proportional to 318,918.50, 440,107.52 and 175,678.54

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Solution

The fourth proportional to 318,918.50, 440,107.52 and 175,678.54 is: 242,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,918.50 : 440,107.52 = 175,678.54 : x
  2. Step 2: Convert to fraction form
    318,918.50/440,107.52 = 175,678.54/x
  3. Step 3: Cross multiply
    318,918.50x = 440,107.52 × 175,678.54
  4. Step 4: Simplify right side
    318,918.50x = 77,317,446,556.62
  5. Step 5: Solve for x
    x = 77,317,446,556.62/318,918.50
  6. Step 6: Final answer
    x = 242,436.38

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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.