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Finding the Fourth Proportional to 302,816.60, 417,755.57 and 180,240.24

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Solution

The fourth proportional to 302,816.60, 417,755.57 and 180,240.24 is: 248,653.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,816.60 : 417,755.57 = 180,240.24 : x
  2. Step 2: Convert to fraction form
    302,816.60/417,755.57 = 180,240.24/x
  3. Step 3: Cross multiply
    302,816.60x = 417,755.57 × 180,240.24
  4. Step 4: Simplify right side
    302,816.60x = 75,296,364,198.14
  5. Step 5: Solve for x
    x = 75,296,364,198.14/302,816.60
  6. Step 6: Final answer
    x = 248,653.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.