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Finding the Fourth Proportional to 411,544.80, 617,025.60 and 158,727.60

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Solution

The fourth proportional to 411,544.80, 617,025.60 and 158,727.60 is: 237,978.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,544.80 : 617,025.60 = 158,727.60 : x
  2. Step 2: Convert to fraction form
    411,544.80/617,025.60 = 158,727.60/x
  3. Step 3: Cross multiply
    411,544.80x = 617,025.60 × 158,727.60
  4. Step 4: Simplify right side
    411,544.80x = 97,938,992,626.56
  5. Step 5: Solve for x
    x = 97,938,992,626.56/411,544.80
  6. Step 6: Final answer
    x = 237,978.93

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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.