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Finding the Fourth Proportional to 296,224, 408,789.12 and 162,088

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Solution

The fourth proportional to 296,224, 408,789.12 and 162,088 is: 223,681.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,224 : 408,789.12 = 162,088 : x
  2. Step 2: Convert to fraction form
    296,224/408,789.12 = 162,088/x
  3. Step 3: Cross multiply
    296,224x = 408,789.12 × 162,088
  4. Step 4: Simplify right side
    296,224x = 66,259,810,882.56
  5. Step 5: Solve for x
    x = 66,259,810,882.56/296,224
  6. Step 6: Final answer
    x = 223,681.44

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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.