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Finding the Fourth Proportional to 297,583.67, 446,406.26 and 97,903.78

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Solution

The fourth proportional to 297,583.67, 446,406.26 and 97,903.78 is: 146,865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,583.67 : 446,406.26 = 97,903.78 : x
  2. Step 2: Convert to fraction form
    297,583.67/446,406.26 = 97,903.78/x
  3. Step 3: Cross multiply
    297,583.67x = 446,406.26 × 97,903.78
  4. Step 4: Simplify right side
    297,583.67x = 43,704,860,269.66
  5. Step 5: Solve for x
    x = 43,704,860,269.66/297,583.67
  6. Step 6: Final answer
    x = 146,865.79

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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.