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Finding the Fourth Proportional to 597,028.96, 823,958.16 and 445,863.52

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Solution

The fourth proportional to 597,028.96, 823,958.16 and 445,863.52 is: 615,335.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,028.96 : 823,958.16 = 445,863.52 : x
  2. Step 2: Convert to fraction form
    597,028.96/823,958.16 = 445,863.52/x
  3. Step 3: Cross multiply
    597,028.96x = 823,958.16 × 445,863.52
  4. Step 4: Simplify right side
    597,028.96x = 367,372,885,550.32
  5. Step 5: Solve for x
    x = 367,372,885,550.32/597,028.96
  6. Step 6: Final answer
    x = 615,335.12

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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.