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Finding the Fourth Proportional to 298,774.41, 412,308.73 and 162,808.41

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Solution

The fourth proportional to 298,774.41, 412,308.73 and 162,808.41 is: 224,675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,774.41 : 412,308.73 = 162,808.41 : x
  2. Step 2: Convert to fraction form
    298,774.41/412,308.73 = 162,808.41/x
  3. Step 3: Cross multiply
    298,774.41x = 412,308.73 × 162,808.41
  4. Step 4: Simplify right side
    298,774.41x = 67,127,328,760.42
  5. Step 5: Solve for x
    x = 67,127,328,760.42/298,774.41
  6. Step 6: Final answer
    x = 224,675.63

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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.