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Finding the Fourth Proportional to 310,467.96, 467,776.60 and 280,517.00

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Solution

The fourth proportional to 310,467.96, 467,776.60 and 280,517.00 is: 422,650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,467.96 : 467,776.60 = 280,517.00 : x
  2. Step 2: Convert to fraction form
    310,467.96/467,776.60 = 280,517.00/x
  3. Step 3: Cross multiply
    310,467.96x = 467,776.60 × 280,517.00
  4. Step 4: Simplify right side
    310,467.96x = 131,219,285,462.03
  5. Step 5: Solve for x
    x = 131,219,285,462.03/310,467.96
  6. Step 6: Final answer
    x = 422,650.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.