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Finding the Fourth Proportional to 367,971.05, 507,814.45 and 206,825.60

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Solution

The fourth proportional to 367,971.05, 507,814.45 and 206,825.60 is: 285,427.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,971.05 : 507,814.45 = 206,825.60 : x
  2. Step 2: Convert to fraction form
    367,971.05/507,814.45 = 206,825.60/x
  3. Step 3: Cross multiply
    367,971.05x = 507,814.45 × 206,825.60
  4. Step 4: Simplify right side
    367,971.05x = 105,029,029,062.39
  5. Step 5: Solve for x
    x = 105,029,029,062.39/367,971.05
  6. Step 6: Final answer
    x = 285,427.42

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1.5x scale

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.