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Finding the Fourth Proportional to 297,765.72, 446,710.14 and 98,098.38

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Solution

The fourth proportional to 297,765.72, 446,710.14 and 98,098.38 is: 147,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,765.72 : 446,710.14 = 98,098.38 : x
  2. Step 2: Convert to fraction form
    297,765.72/446,710.14 = 98,098.38/x
  3. Step 3: Cross multiply
    297,765.72x = 446,710.14 × 98,098.38
  4. Step 4: Simplify right side
    297,765.72x = 43,821,541,063.57
  5. Step 5: Solve for x
    x = 43,821,541,063.57/297,765.72
  6. Step 6: Final answer
    x = 147,167.85

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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.