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Finding the Fourth Proportional to 450,297.23, 675,678.65 and 197,755.20

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Solution

The fourth proportional to 450,297.23, 675,678.65 and 197,755.20 is: 296,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,297.23 : 675,678.65 = 197,755.20 : x
  2. Step 2: Convert to fraction form
    450,297.23/675,678.65 = 197,755.20/x
  3. Step 3: Cross multiply
    450,297.23x = 675,678.65 × 197,755.20
  4. Step 4: Simplify right side
    450,297.23x = 133,618,965,577.70
  5. Step 5: Solve for x
    x = 133,618,965,577.70/450,297.23
  6. Step 6: Final answer
    x = 296,735.04

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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.