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Finding the Fourth Proportional to 539,375.13, 809,223.66 and 160,308.48

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Solution

The fourth proportional to 539,375.13, 809,223.66 and 160,308.48 is: 240,510.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,375.13 : 809,223.66 = 160,308.48 : x
  2. Step 2: Convert to fraction form
    539,375.13/809,223.66 = 160,308.48/x
  3. Step 3: Cross multiply
    539,375.13x = 809,223.66 × 160,308.48
  4. Step 4: Simplify right side
    539,375.13x = 129,725,414,914.64
  5. Step 5: Solve for x
    x = 129,725,414,914.64/539,375.13
  6. Step 6: Final answer
    x = 240,510.56

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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.