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Finding the Fourth Proportional to 594,349, 820,216.02 and 326,077

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Solution

The fourth proportional to 594,349, 820,216.02 and 326,077 is: 449,994.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,349 : 820,216.02 = 326,077 : x
  2. Step 2: Convert to fraction form
    594,349/820,216.02 = 326,077/x
  3. Step 3: Cross multiply
    594,349x = 820,216.02 × 326,077
  4. Step 4: Simplify right side
    594,349x = 267,453,579,153.54
  5. Step 5: Solve for x
    x = 267,453,579,153.54/594,349
  6. Step 6: Final answer
    x = 449,994.16

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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.