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Finding the Fourth Proportional to 296,524, 409,204.56 and 162,388

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Solution

The fourth proportional to 296,524, 409,204.56 and 162,388 is: 224,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,524 : 409,204.56 = 162,388 : x
  2. Step 2: Convert to fraction form
    296,524/409,204.56 = 162,388/x
  3. Step 3: Cross multiply
    296,524x = 409,204.56 × 162,388
  4. Step 4: Simplify right side
    296,524x = 66,449,910,089.28
  5. Step 5: Solve for x
    x = 66,449,910,089.28/296,524
  6. Step 6: Final answer
    x = 224,096.23

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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.