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Finding the Fourth Proportional to 469,014.87, 704,463.75 and 279,844.41

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Solution

The fourth proportional to 469,014.87, 704,463.75 and 279,844.41 is: 420,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,014.87 : 704,463.75 = 279,844.41 : x
  2. Step 2: Convert to fraction form
    469,014.87/704,463.75 = 279,844.41/x
  3. Step 3: Cross multiply
    469,014.87x = 704,463.75 × 279,844.41
  4. Step 4: Simplify right side
    469,014.87x = 197,140,242,485.14
  5. Step 5: Solve for x
    x = 197,140,242,485.14/469,014.87
  6. Step 6: Final answer
    x = 420,328.34

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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.