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Finding the Fourth Proportional to 296,469.54, 409,125.03 and 160,499.90

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Solution

The fourth proportional to 296,469.54, 409,125.03 and 160,499.90 is: 221,488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,469.54 : 409,125.03 = 160,499.90 : x
  2. Step 2: Convert to fraction form
    296,469.54/409,125.03 = 160,499.90/x
  3. Step 3: Cross multiply
    296,469.54x = 409,125.03 × 160,499.90
  4. Step 4: Simplify right side
    296,469.54x = 65,664,524,356.87
  5. Step 5: Solve for x
    x = 65,664,524,356.87/296,469.54
  6. Step 6: Final answer
    x = 221,488.27

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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.