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Finding the Fourth Proportional to 584,266.56, 806,274.24 and 329,611.20

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Solution

The fourth proportional to 584,266.56, 806,274.24 and 329,611.20 is: 454,855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,266.56 : 806,274.24 = 329,611.20 : x
  2. Step 2: Convert to fraction form
    584,266.56/806,274.24 = 329,611.20/x
  3. Step 3: Cross multiply
    584,266.56x = 806,274.24 × 329,611.20
  4. Step 4: Simplify right side
    584,266.56x = 265,757,019,775.49
  5. Step 5: Solve for x
    x = 265,757,019,775.49/584,266.56
  6. Step 6: Final answer
    x = 454,855.78

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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.