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Finding the Fourth Proportional to 539,499.60, 809,357.40 and 160,419.60

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Solution

The fourth proportional to 539,499.60, 809,357.40 and 160,419.60 is: 240,661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,499.60 : 809,357.40 = 160,419.60 : x
  2. Step 2: Convert to fraction form
    539,499.60/809,357.40 = 160,419.60/x
  3. Step 3: Cross multiply
    539,499.60x = 809,357.40 × 160,419.60
  4. Step 4: Simplify right side
    539,499.60x = 129,836,790,365.04
  5. Step 5: Solve for x
    x = 129,836,790,365.04/539,499.60
  6. Step 6: Final answer
    x = 240,661.51

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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.