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Finding the Fourth Proportional to 341,412.28, 471,196.38 and 190,519

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Solution

The fourth proportional to 341,412.28, 471,196.38 and 190,519 is: 262,942.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,412.28 : 471,196.38 = 190,519 : x
  2. Step 2: Convert to fraction form
    341,412.28/471,196.38 = 190,519/x
  3. Step 3: Cross multiply
    341,412.28x = 471,196.38 × 190,519
  4. Step 4: Simplify right side
    341,412.28x = 89,771,863,121.22
  5. Step 5: Solve for x
    x = 89,771,863,121.22/341,412.28
  6. Step 6: Final answer
    x = 262,942.69

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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.