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Finding the Fourth Proportional to 297,911.92, 446,897.40 and 98,234.32

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Solution

The fourth proportional to 297,911.92, 446,897.40 and 98,234.32 is: 147,361.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,911.92 : 446,897.40 = 98,234.32 : x
  2. Step 2: Convert to fraction form
    297,911.92/446,897.40 = 98,234.32/x
  3. Step 3: Cross multiply
    297,911.92x = 446,897.40 × 98,234.32
  4. Step 4: Simplify right side
    297,911.92x = 43,900,662,198.77
  5. Step 5: Solve for x
    x = 43,900,662,198.77/297,911.92
  6. Step 6: Final answer
    x = 147,361.21

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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.