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Finding the Fourth Proportional to 317,314.80, 476,749.80 and 238,582.80

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Solution

The fourth proportional to 317,314.80, 476,749.80 and 238,582.80 is: 358,458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,314.80 : 476,749.80 = 238,582.80 : x
  2. Step 2: Convert to fraction form
    317,314.80/476,749.80 = 238,582.80/x
  3. Step 3: Cross multiply
    317,314.80x = 476,749.80 × 238,582.80
  4. Step 4: Simplify right side
    317,314.80x = 113,744,302,183.44
  5. Step 5: Solve for x
    x = 113,744,302,183.44/317,314.80
  6. Step 6: Final answer
    x = 358,458.86

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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.