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Finding the Fourth Proportional to 455,813.20, 683,719.80 and 219,617.20

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Solution

The fourth proportional to 455,813.20, 683,719.80 and 219,617.20 is: 329,425.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,813.20 : 683,719.80 = 219,617.20 : x
  2. Step 2: Convert to fraction form
    455,813.20/683,719.80 = 219,617.20/x
  3. Step 3: Cross multiply
    455,813.20x = 683,719.80 × 219,617.20
  4. Step 4: Simplify right side
    455,813.20x = 150,156,628,060.56
  5. Step 5: Solve for x
    x = 150,156,628,060.56/455,813.20
  6. Step 6: Final answer
    x = 329,425.80

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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.