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Finding the Fourth Proportional to 339,727.16, 468,829.46 and 186,771.80

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Solution

The fourth proportional to 339,727.16, 468,829.46 and 186,771.80 is: 257,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,727.16 : 468,829.46 = 186,771.80 : x
  2. Step 2: Convert to fraction form
    339,727.16/468,829.46 = 186,771.80/x
  3. Step 3: Cross multiply
    339,727.16x = 468,829.46 × 186,771.80
  4. Step 4: Simplify right side
    339,727.16x = 87,564,122,137.23
  5. Step 5: Solve for x
    x = 87,564,122,137.23/339,727.16
  6. Step 6: Final answer
    x = 257,748.37

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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.