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Finding the Fourth Proportional to 539,197.60, 809,314.80 and 273,258.40

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Solution

The fourth proportional to 539,197.60, 809,314.80 and 273,258.40 is: 410,150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,197.60 : 809,314.80 = 273,258.40 : x
  2. Step 2: Convert to fraction form
    539,197.60/809,314.80 = 273,258.40/x
  3. Step 3: Cross multiply
    539,197.60x = 809,314.80 × 273,258.40
  4. Step 4: Simplify right side
    539,197.60x = 221,152,067,344.32
  5. Step 5: Solve for x
    x = 221,152,067,344.32/539,197.60
  6. Step 6: Final answer
    x = 410,150.32

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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.