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Finding the Fourth Proportional to 478,847.16, 660,796.92 and 263,982.24

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Solution

The fourth proportional to 478,847.16, 660,796.92 and 263,982.24 is: 364,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,847.16 : 660,796.92 = 263,982.24 : x
  2. Step 2: Convert to fraction form
    478,847.16/660,796.92 = 263,982.24/x
  3. Step 3: Cross multiply
    478,847.16x = 660,796.92 × 263,982.24
  4. Step 4: Simplify right side
    478,847.16x = 174,438,651,126.70
  5. Step 5: Solve for x
    x = 174,438,651,126.70/478,847.16
  6. Step 6: Final answer
    x = 364,288.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.