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Finding the Fourth Proportional to 539,202.60, 809,322.30 and 273,263.40

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Solution

The fourth proportional to 539,202.60, 809,322.30 and 273,263.40 is: 410,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,202.60 : 809,322.30 = 273,263.40 : x
  2. Step 2: Convert to fraction form
    539,202.60/809,322.30 = 273,263.40/x
  3. Step 3: Cross multiply
    539,202.60x = 809,322.30 × 273,263.40
  4. Step 4: Simplify right side
    539,202.60x = 221,158,163,393.82
  5. Step 5: Solve for x
    x = 221,158,163,393.82/539,202.60
  6. Step 6: Final answer
    x = 410,157.82

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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.