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Finding the Fourth Proportional to 297,321.40, 445,982.10 and 197,615.80

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Solution

The fourth proportional to 297,321.40, 445,982.10 and 197,615.80 is: 296,423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,321.40 : 445,982.10 = 197,615.80 : x
  2. Step 2: Convert to fraction form
    297,321.40/445,982.10 = 197,615.80/x
  3. Step 3: Cross multiply
    297,321.40x = 445,982.10 × 197,615.80
  4. Step 4: Simplify right side
    297,321.40x = 88,133,109,477.18
  5. Step 5: Solve for x
    x = 88,133,109,477.18/297,321.40
  6. Step 6: Final answer
    x = 296,423.70

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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.