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Finding the Fourth Proportional to 576,204.60, 863,205.30 and 309,876.60

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Solution

The fourth proportional to 576,204.60, 863,205.30 and 309,876.60 is: 464,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,204.60 : 863,205.30 = 309,876.60 : x
  2. Step 2: Convert to fraction form
    576,204.60/863,205.30 = 309,876.60/x
  3. Step 3: Cross multiply
    576,204.60x = 863,205.30 × 309,876.60
  4. Step 4: Simplify right side
    576,204.60x = 267,487,123,465.98
  5. Step 5: Solve for x
    x = 267,487,123,465.98/576,204.60
  6. Step 6: Final answer
    x = 464,222.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.