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Finding the Fourth Proportional to 297,542.45, 446,328.02 and 97,858.41

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Solution

The fourth proportional to 297,542.45, 446,328.02 and 97,858.41 is: 146,792.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,542.45 : 446,328.02 = 97,858.41 : x
  2. Step 2: Convert to fraction form
    297,542.45/446,328.02 = 97,858.41/x
  3. Step 3: Cross multiply
    297,542.45x = 446,328.02 × 97,858.41
  4. Step 4: Simplify right side
    297,542.45x = 43,676,950,375.65
  5. Step 5: Solve for x
    x = 43,676,950,375.65/297,542.45
  6. Step 6: Final answer
    x = 146,792.33

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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.