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Finding the Fourth Proportional to 364,394.44, 546,416.70 and 206,580.52

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Solution

The fourth proportional to 364,394.44, 546,416.70 and 206,580.52 is: 309,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,394.44 : 546,416.70 = 206,580.52 : x
  2. Step 2: Convert to fraction form
    364,394.44/546,416.70 = 206,580.52/x
  3. Step 3: Cross multiply
    364,394.44x = 546,416.70 × 206,580.52
  4. Step 4: Simplify right side
    364,394.44x = 112,879,046,022.68
  5. Step 5: Solve for x
    x = 112,879,046,022.68/364,394.44
  6. Step 6: Final answer
    x = 309,771.59

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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.