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Finding the Fourth Proportional to 405,969.80, 608,954.70 and 389,640.20

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Solution

The fourth proportional to 405,969.80, 608,954.70 and 389,640.20 is: 584,460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,969.80 : 608,954.70 = 389,640.20 : x
  2. Step 2: Convert to fraction form
    405,969.80/608,954.70 = 389,640.20/x
  3. Step 3: Cross multiply
    405,969.80x = 608,954.70 × 389,640.20
  4. Step 4: Simplify right side
    405,969.80x = 237,273,231,098.94
  5. Step 5: Solve for x
    x = 237,273,231,098.94/405,969.80
  6. Step 6: Final answer
    x = 584,460.30

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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.