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Finding the Fourth Proportional to 329,311.80, 492,801.30 and 224,335.80

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Solution

The fourth proportional to 329,311.80, 492,801.30 and 224,335.80 is: 335,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,311.80 : 492,801.30 = 224,335.80 : x
  2. Step 2: Convert to fraction form
    329,311.80/492,801.30 = 224,335.80/x
  3. Step 3: Cross multiply
    329,311.80x = 492,801.30 × 224,335.80
  4. Step 4: Simplify right side
    329,311.80x = 110,552,973,876.54
  5. Step 5: Solve for x
    x = 110,552,973,876.54/329,311.80
  6. Step 6: Final answer
    x = 335,709.12

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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.