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Finding the Fourth Proportional to 314,109.63, 471,169.44 and 77,452.38

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Solution

The fourth proportional to 314,109.63, 471,169.44 and 77,452.38 is: 116,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,109.63 : 471,169.44 = 77,452.38 : x
  2. Step 2: Convert to fraction form
    314,109.63/471,169.44 = 77,452.38/x
  3. Step 3: Cross multiply
    314,109.63x = 471,169.44 × 77,452.38
  4. Step 4: Simplify right side
    314,109.63x = 36,493,194,511.27
  5. Step 5: Solve for x
    x = 36,493,194,511.27/314,109.63
  6. Step 6: Final answer
    x = 116,179.80

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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.