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Finding the Fourth Proportional to 329,730.34, 494,594.73 and 216,592.30

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Solution

The fourth proportional to 329,730.34, 494,594.73 and 216,592.30 is: 324,887.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,730.34 : 494,594.73 = 216,592.30 : x
  2. Step 2: Convert to fraction form
    329,730.34/494,594.73 = 216,592.30/x
  3. Step 3: Cross multiply
    329,730.34x = 494,594.73 × 216,592.30
  4. Step 4: Simplify right side
    329,730.34x = 107,125,410,138.58
  5. Step 5: Solve for x
    x = 107,125,410,138.58/329,730.34
  6. Step 6: Final answer
    x = 324,887.94

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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.