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Finding the Fourth Proportional to 469,836.64, 704,842.40 and 213,687.64

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Solution

The fourth proportional to 469,836.64, 704,842.40 and 213,687.64 is: 320,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,836.64 : 704,842.40 = 213,687.64 : x
  2. Step 2: Convert to fraction form
    469,836.64/704,842.40 = 213,687.64/x
  3. Step 3: Cross multiply
    469,836.64x = 704,842.40 × 213,687.64
  4. Step 4: Simplify right side
    469,836.64x = 150,616,109,027.94
  5. Step 5: Solve for x
    x = 150,616,109,027.94/469,836.64
  6. Step 6: Final answer
    x = 320,571.23

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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.