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Finding the Fourth Proportional to 410,003.70, 614,429.55 and 325,907.70

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Solution

The fourth proportional to 410,003.70, 614,429.55 and 325,907.70 is: 488,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,003.70 : 614,429.55 = 325,907.70 : x
  2. Step 2: Convert to fraction form
    410,003.70/614,429.55 = 325,907.70/x
  3. Step 3: Cross multiply
    410,003.70x = 614,429.55 × 325,907.70
  4. Step 4: Simplify right side
    410,003.70x = 200,247,321,452.54
  5. Step 5: Solve for x
    x = 200,247,321,452.54/410,003.70
  6. Step 6: Final answer
    x = 488,403.69

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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.