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Finding the Fourth Proportional to 410,066.37, 565,891.94 and 228,778.32

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Solution

The fourth proportional to 410,066.37, 565,891.94 and 228,778.32 is: 315,714.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,066.37 : 565,891.94 = 228,778.32 : x
  2. Step 2: Convert to fraction form
    410,066.37/565,891.94 = 228,778.32/x
  3. Step 3: Cross multiply
    410,066.37x = 565,891.94 × 228,778.32
  4. Step 4: Simplify right side
    410,066.37x = 129,463,809,027.88
  5. Step 5: Solve for x
    x = 129,463,809,027.88/410,066.37
  6. Step 6: Final answer
    x = 315,714.28

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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.