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Finding the Fourth Proportional to 296,745.50, 409,508.80 and 162,609.50

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Solution

The fourth proportional to 296,745.50, 409,508.80 and 162,609.50 is: 224,401.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,745.50 : 409,508.80 = 162,609.50 : x
  2. Step 2: Convert to fraction form
    296,745.50/409,508.80 = 162,609.50/x
  3. Step 3: Cross multiply
    296,745.50x = 409,508.80 × 162,609.50
  4. Step 4: Simplify right side
    296,745.50x = 66,590,021,213.60
  5. Step 5: Solve for x
    x = 66,590,021,213.60/296,745.50
  6. Step 6: Final answer
    x = 224,401.12

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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.