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Finding the Fourth Proportional to 667,633.50, 921,334.23 and 365,821.02

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Solution

The fourth proportional to 667,633.50, 921,334.23 and 365,821.02 is: 504,833.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,633.50 : 921,334.23 = 365,821.02 : x
  2. Step 2: Convert to fraction form
    667,633.50/921,334.23 = 365,821.02/x
  3. Step 3: Cross multiply
    667,633.50x = 921,334.23 × 365,821.02
  4. Step 4: Simplify right side
    667,633.50x = 337,043,427,779.52
  5. Step 5: Solve for x
    x = 337,043,427,779.52/667,633.50
  6. Step 6: Final answer
    x = 504,833.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.