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Finding the Fourth Proportional to 411,627.28, 568,076.16 and 230,357.38

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Solution

The fourth proportional to 411,627.28, 568,076.16 and 230,357.38 is: 317,910.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,627.28 : 568,076.16 = 230,357.38 : x
  2. Step 2: Convert to fraction form
    411,627.28/568,076.16 = 230,357.38/x
  3. Step 3: Cross multiply
    411,627.28x = 568,076.16 × 230,357.38
  4. Step 4: Simplify right side
    411,627.28x = 130,860,535,858.06
  5. Step 5: Solve for x
    x = 130,860,535,858.06/411,627.28
  6. Step 6: Final answer
    x = 317,910.26

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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.