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Finding the Fourth Proportional to 469,013.87, 704,462.25 and 279,843.41

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Solution

The fourth proportional to 469,013.87, 704,462.25 and 279,843.41 is: 420,326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,013.87 : 704,462.25 = 279,843.41 : x
  2. Step 2: Convert to fraction form
    469,013.87/704,462.25 = 279,843.41/x
  3. Step 3: Cross multiply
    469,013.87x = 704,462.25 × 279,843.41
  4. Step 4: Simplify right side
    469,013.87x = 197,139,118,256.27
  5. Step 5: Solve for x
    x = 197,139,118,256.27/469,013.87
  6. Step 6: Final answer
    x = 420,326.84

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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.