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Finding the Fourth Proportional to 298,577.44, 412,037.30 and 162,612

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Solution

The fourth proportional to 298,577.44, 412,037.30 and 162,612 is: 224,404.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,577.44 : 412,037.30 = 162,612 : x
  2. Step 2: Convert to fraction form
    298,577.44/412,037.30 = 162,612/x
  3. Step 3: Cross multiply
    298,577.44x = 412,037.30 × 162,612
  4. Step 4: Simplify right side
    298,577.44x = 67,002,209,427.60
  5. Step 5: Solve for x
    x = 67,002,209,427.60/298,577.44
  6. Step 6: Final answer
    x = 224,404.80

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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.