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Finding the Fourth Proportional to 433,346.64, 598,179.16 and 326,227.38

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Solution

The fourth proportional to 433,346.64, 598,179.16 and 326,227.38 is: 450,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,346.64 : 598,179.16 = 326,227.38 : x
  2. Step 2: Convert to fraction form
    433,346.64/598,179.16 = 326,227.38/x
  3. Step 3: Cross multiply
    433,346.64x = 598,179.16 × 326,227.38
  4. Step 4: Simplify right side
    433,346.64x = 195,142,420,137.40
  5. Step 5: Solve for x
    x = 195,142,420,137.40/433,346.64
  6. Step 6: Final answer
    x = 450,314.83

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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.