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Finding the Fourth Proportional to 450,215.84, 675,159.24 and 197,321.96

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Solution

The fourth proportional to 450,215.84, 675,159.24 and 197,321.96 is: 295,910.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,215.84 : 675,159.24 = 197,321.96 : x
  2. Step 2: Convert to fraction form
    450,215.84/675,159.24 = 197,321.96/x
  3. Step 3: Cross multiply
    450,215.84x = 675,159.24 × 197,321.96
  4. Step 4: Simplify right side
    450,215.84x = 133,223,744,548.91
  5. Step 5: Solve for x
    x = 133,223,744,548.91/450,215.84
  6. Step 6: Final answer
    x = 295,910.83

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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.