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Finding the Fourth Proportional to 539,941.60, 809,912.40 and 434,965.60

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Solution

The fourth proportional to 539,941.60, 809,912.40 and 434,965.60 is: 652,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,941.60 : 809,912.40 = 434,965.60 : x
  2. Step 2: Convert to fraction form
    539,941.60/809,912.40 = 434,965.60/x
  3. Step 3: Cross multiply
    539,941.60x = 809,912.40 × 434,965.60
  4. Step 4: Simplify right side
    539,941.60x = 352,284,033,013.44
  5. Step 5: Solve for x
    x = 352,284,033,013.44/539,941.60
  6. Step 6: Final answer
    x = 652,448.40

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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.