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Finding the Fourth Proportional to 296,469.63, 409,128.75 and 160,505.01

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Solution

The fourth proportional to 296,469.63, 409,128.75 and 160,505.01 is: 221,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,469.63 : 409,128.75 = 160,505.01 : x
  2. Step 2: Convert to fraction form
    296,469.63/409,128.75 = 160,505.01/x
  3. Step 3: Cross multiply
    296,469.63x = 409,128.75 × 160,505.01
  4. Step 4: Simplify right side
    296,469.63x = 65,667,214,110.04
  5. Step 5: Solve for x
    x = 65,667,214,110.04/296,469.63
  6. Step 6: Final answer
    x = 221,497.27

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1.5x scale

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.