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Finding the Fourth Proportional to 594,350, 820,217.40 and 326,078

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Solution

The fourth proportional to 594,350, 820,217.40 and 326,078 is: 449,995.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,350 : 820,217.40 = 326,078 : x
  2. Step 2: Convert to fraction form
    594,350/820,217.40 = 326,078/x
  3. Step 3: Cross multiply
    594,350x = 820,217.40 × 326,078
  4. Step 4: Simplify right side
    594,350x = 267,454,849,357.20
  5. Step 5: Solve for x
    x = 267,454,849,357.20/594,350
  6. Step 6: Final answer
    x = 449,995.54

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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.