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Finding the Fourth Proportional to 539,506.50, 809,274.60 and 165,529.50

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Solution

The fourth proportional to 539,506.50, 809,274.60 and 165,529.50 is: 248,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,506.50 : 809,274.60 = 165,529.50 : x
  2. Step 2: Convert to fraction form
    539,506.50/809,274.60 = 165,529.50/x
  3. Step 3: Cross multiply
    539,506.50x = 809,274.60 × 165,529.50
  4. Step 4: Simplify right side
    539,506.50x = 133,958,819,900.70
  5. Step 5: Solve for x
    x = 133,958,819,900.70/539,506.50
  6. Step 6: Final answer
    x = 248,298.81

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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.