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Finding the Fourth Proportional to 594,563.82, 820,264.50 and 339,778.32

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Solution

The fourth proportional to 594,563.82, 820,264.50 and 339,778.32 is: 468,760.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,563.82 : 820,264.50 = 339,778.32 : x
  2. Step 2: Convert to fraction form
    594,563.82/820,264.50 = 339,778.32/x
  3. Step 3: Cross multiply
    594,563.82x = 820,264.50 × 339,778.32
  4. Step 4: Simplify right side
    594,563.82x = 278,708,093,765.64
  5. Step 5: Solve for x
    x = 278,708,093,765.64/594,563.82
  6. Step 6: Final answer
    x = 468,760.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.