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Finding the Fourth Proportional to 539,497.26, 809,742.69 and 273,446.28

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Solution

The fourth proportional to 539,497.26, 809,742.69 and 273,446.28 is: 410,421.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,497.26 : 809,742.69 = 273,446.28 : x
  2. Step 2: Convert to fraction form
    539,497.26/809,742.69 = 273,446.28/x
  3. Step 3: Cross multiply
    539,497.26x = 809,742.69 × 273,446.28
  4. Step 4: Simplify right side
    539,497.26x = 221,421,126,337.69
  5. Step 5: Solve for x
    x = 221,421,126,337.69/539,497.26
  6. Step 6: Final answer
    x = 410,421.23

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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.