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Finding the Fourth Proportional to 296,568.99, 409,265.42 and 160,603.09

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Solution

The fourth proportional to 296,568.99, 409,265.42 and 160,603.09 is: 221,632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,568.99 : 409,265.42 = 160,603.09 : x
  2. Step 2: Convert to fraction form
    296,568.99/409,265.42 = 160,603.09/x
  3. Step 3: Cross multiply
    296,568.99x = 409,265.42 × 160,603.09
  4. Step 4: Simplify right side
    296,568.99x = 65,729,291,082.15
  5. Step 5: Solve for x
    x = 65,729,291,082.15/296,568.99
  6. Step 6: Final answer
    x = 221,632.38

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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.