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Finding the Fourth Proportional to 296,911.28, 409,763.49 and 162,801.20

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Solution

The fourth proportional to 296,911.28, 409,763.49 and 162,801.20 is: 224,679.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,911.28 : 409,763.49 = 162,801.20 : x
  2. Step 2: Convert to fraction form
    296,911.28/409,763.49 = 162,801.20/x
  3. Step 3: Cross multiply
    296,911.28x = 409,763.49 × 162,801.20
  4. Step 4: Simplify right side
    296,911.28x = 66,709,987,888.19
  5. Step 5: Solve for x
    x = 66,709,987,888.19/296,911.28
  6. Step 6: Final answer
    x = 224,679.87

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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.