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Finding the Fourth Proportional to 451,222, 676,874.80 and 147,617.84

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Solution

The fourth proportional to 451,222, 676,874.80 and 147,617.84 is: 221,440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,222 : 676,874.80 = 147,617.84 : x
  2. Step 2: Convert to fraction form
    451,222/676,874.80 = 147,617.84/x
  3. Step 3: Cross multiply
    451,222x = 676,874.80 × 147,617.84
  4. Step 4: Simplify right side
    451,222x = 99,918,795,926.43
  5. Step 5: Solve for x
    x = 99,918,795,926.43/451,222
  6. Step 6: Final answer
    x = 221,440.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.