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Finding the Fourth Proportional to 296,821.80, 445,275.90 and 97,093.80

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Solution

The fourth proportional to 296,821.80, 445,275.90 and 97,093.80 is: 145,654.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,821.80 : 445,275.90 = 97,093.80 : x
  2. Step 2: Convert to fraction form
    296,821.80/445,275.90 = 97,093.80/x
  3. Step 3: Cross multiply
    296,821.80x = 445,275.90 × 97,093.80
  4. Step 4: Simplify right side
    296,821.80x = 43,233,529,179.42
  5. Step 5: Solve for x
    x = 43,233,529,179.42/296,821.80
  6. Step 6: Final answer
    x = 145,654.83

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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.