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Finding the Fourth Proportional to 809,124.75, 1,213,745.45 and 310,488.75

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Solution

The fourth proportional to 809,124.75, 1,213,745.45 and 310,488.75 is: 465,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,124.75 : 1,213,745.45 = 310,488.75 : x
  2. Step 2: Convert to fraction form
    809,124.75/1,213,745.45 = 310,488.75/x
  3. Step 3: Cross multiply
    809,124.75x = 1,213,745.45 × 310,488.75
  4. Step 4: Simplify right side
    809,124.75x = 376,854,306,036.24
  5. Step 5: Solve for x
    x = 376,854,306,036.24/809,124.75
  6. Step 6: Final answer
    x = 465,755.50

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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.