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Finding the Fourth Proportional to 571,268.16, 857,022.39 and 216,274.32

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Solution

The fourth proportional to 571,268.16, 857,022.39 and 216,274.32 is: 324,456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,268.16 : 857,022.39 = 216,274.32 : x
  2. Step 2: Convert to fraction form
    571,268.16/857,022.39 = 216,274.32/x
  3. Step 3: Cross multiply
    571,268.16x = 857,022.39 × 216,274.32
  4. Step 4: Simplify right side
    571,268.16x = 185,351,934,622.03
  5. Step 5: Solve for x
    x = 185,351,934,622.03/571,268.16
  6. Step 6: Final answer
    x = 324,456.97

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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.