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Finding the Fourth Proportional to 412,228.03, 568,873.41 and 228,478.32

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Solution

The fourth proportional to 412,228.03, 568,873.41 and 228,478.32 is: 315,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,228.03 : 568,873.41 = 228,478.32 : x
  2. Step 2: Convert to fraction form
    412,228.03/568,873.41 = 228,478.32/x
  3. Step 3: Cross multiply
    412,228.03x = 568,873.41 × 228,478.32
  4. Step 4: Simplify right side
    412,228.03x = 129,975,241,009.47
  5. Step 5: Solve for x
    x = 129,975,241,009.47/412,228.03
  6. Step 6: Final answer
    x = 315,299.38

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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.