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Finding the Fourth Proportional to 685,892.40, 946,993.44 and 428,161.74

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Solution

The fourth proportional to 685,892.40, 946,993.44 and 428,161.74 is: 591,151.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,892.40 : 946,993.44 = 428,161.74 : x
  2. Step 2: Convert to fraction form
    685,892.40/946,993.44 = 428,161.74/x
  3. Step 3: Cross multiply
    685,892.40x = 946,993.44 × 428,161.74
  4. Step 4: Simplify right side
    685,892.40x = 405,466,359,038.99
  5. Step 5: Solve for x
    x = 405,466,359,038.99/685,892.40
  6. Step 6: Final answer
    x = 591,151.56

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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.