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Finding the Fourth Proportional to 297,063.72, 445,748.76 and 197,292.96

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Solution

The fourth proportional to 297,063.72, 445,748.76 and 197,292.96 is: 296,041.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,063.72 : 445,748.76 = 197,292.96 : x
  2. Step 2: Convert to fraction form
    297,063.72/445,748.76 = 197,292.96/x
  3. Step 3: Cross multiply
    297,063.72x = 445,748.76 × 197,292.96
  4. Step 4: Simplify right side
    297,063.72x = 87,943,092,276.73
  5. Step 5: Solve for x
    x = 87,943,092,276.73/297,063.72
  6. Step 6: Final answer
    x = 296,041.17

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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.