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Finding the Fourth Proportional to 367,416.63, 507,018.69 and 206,268.48

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Solution

The fourth proportional to 367,416.63, 507,018.69 and 206,268.48 is: 284,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,416.63 : 507,018.69 = 206,268.48 : x
  2. Step 2: Convert to fraction form
    367,416.63/507,018.69 = 206,268.48/x
  3. Step 3: Cross multiply
    367,416.63x = 507,018.69 × 206,268.48
  4. Step 4: Simplify right side
    367,416.63x = 104,581,974,517.89
  5. Step 5: Solve for x
    x = 104,581,974,517.89/367,416.63
  6. Step 6: Final answer
    x = 284,641.37

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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.