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Finding the Fourth Proportional to 599,457.09, 827,241.13 and 327,519.15

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Solution

The fourth proportional to 599,457.09, 827,241.13 and 327,519.15 is: 451,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,457.09 : 827,241.13 = 327,519.15 : x
  2. Step 2: Convert to fraction form
    599,457.09/827,241.13 = 327,519.15/x
  3. Step 3: Cross multiply
    599,457.09x = 827,241.13 × 327,519.15
  4. Step 4: Simplify right side
    599,457.09x = 270,937,311,742.64
  5. Step 5: Solve for x
    x = 270,937,311,742.64/599,457.09
  6. Step 6: Final answer
    x = 451,971.15

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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.