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Finding the Fourth Proportional to 297,234.84, 445,758.61 and 97,508.69

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Solution

The fourth proportional to 297,234.84, 445,758.61 and 97,508.69 is: 146,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,234.84 : 445,758.61 = 97,508.69 : x
  2. Step 2: Convert to fraction form
    297,234.84/445,758.61 = 97,508.69/x
  3. Step 3: Cross multiply
    297,234.84x = 445,758.61 × 97,508.69
  4. Step 4: Simplify right side
    297,234.84x = 43,465,337,499.18
  5. Step 5: Solve for x
    x = 43,465,337,499.18/297,234.84
  6. Step 6: Final answer
    x = 146,232.31

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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.