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Finding the Fourth Proportional to 419,200.57, 578,498.96 and 228,215.33

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Solution

The fourth proportional to 419,200.57, 578,498.96 and 228,215.33 is: 314,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,200.57 : 578,498.96 = 228,215.33 : x
  2. Step 2: Convert to fraction form
    419,200.57/578,498.96 = 228,215.33/x
  3. Step 3: Cross multiply
    419,200.57x = 578,498.96 × 228,215.33
  4. Step 4: Simplify right side
    419,200.57x = 132,022,330,052.66
  5. Step 5: Solve for x
    x = 132,022,330,052.66/419,200.57
  6. Step 6: Final answer
    x = 314,938.34

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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.