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Finding the Fourth Proportional to 460,159.20, 690,353.28 and 365,745.60

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Solution

The fourth proportional to 460,159.20, 690,353.28 and 365,745.60 is: 548,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,159.20 : 690,353.28 = 365,745.60 : x
  2. Step 2: Convert to fraction form
    460,159.20/690,353.28 = 365,745.60/x
  3. Step 3: Cross multiply
    460,159.20x = 690,353.28 × 365,745.60
  4. Step 4: Simplify right side
    460,159.20x = 252,493,674,605.57
  5. Step 5: Solve for x
    x = 252,493,674,605.57/460,159.20
  6. Step 6: Final answer
    x = 548,709.39

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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.