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Finding the Fourth Proportional to 411,698.14, 568,168.47 and 230,406.37

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Solution

The fourth proportional to 411,698.14, 568,168.47 and 230,406.37 is: 317,974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,698.14 : 568,168.47 = 230,406.37 : x
  2. Step 2: Convert to fraction form
    411,698.14/568,168.47 = 230,406.37/x
  3. Step 3: Cross multiply
    411,698.14x = 568,168.47 × 230,406.37
  4. Step 4: Simplify right side
    411,698.14x = 130,909,634,721.15
  5. Step 5: Solve for x
    x = 130,909,634,721.15/411,698.14
  6. Step 6: Final answer
    x = 317,974.80

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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.