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Finding the Fourth Proportional to 411,379.92, 617,277.56 and 186,597.08

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Solution

The fourth proportional to 411,379.92, 617,277.56 and 186,597.08 is: 279,989.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,379.92 : 617,277.56 = 186,597.08 : x
  2. Step 2: Convert to fraction form
    411,379.92/617,277.56 = 186,597.08/x
  3. Step 3: Cross multiply
    411,379.92x = 617,277.56 × 186,597.08
  4. Step 4: Simplify right side
    411,379.92x = 115,182,190,245.53
  5. Step 5: Solve for x
    x = 115,182,190,245.53/411,379.92
  6. Step 6: Final answer
    x = 279,989.82

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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.