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Finding the Fourth Proportional to 412,567.60, 617,814.60 and 329,623.60

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Solution

The fourth proportional to 412,567.60, 617,814.60 and 329,623.60 is: 493,607.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,567.60 : 617,814.60 = 329,623.60 : x
  2. Step 2: Convert to fraction form
    412,567.60/617,814.60 = 329,623.60/x
  3. Step 3: Cross multiply
    412,567.60x = 617,814.60 × 329,623.60
  4. Step 4: Simplify right side
    412,567.60x = 203,646,272,584.56
  5. Step 5: Solve for x
    x = 203,646,272,584.56/412,567.60
  6. Step 6: Final answer
    x = 493,607.04

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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.