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Finding the Fourth Proportional to 331,046, 456,845.68 and 180,144.08

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Solution

The fourth proportional to 331,046, 456,845.68 and 180,144.08 is: 248,600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,046 : 456,845.68 = 180,144.08 : x
  2. Step 2: Convert to fraction form
    331,046/456,845.68 = 180,144.08/x
  3. Step 3: Cross multiply
    331,046x = 456,845.68 × 180,144.08
  4. Step 4: Simplify right side
    331,046x = 82,298,044,725.57
  5. Step 5: Solve for x
    x = 82,298,044,725.57/331,046
  6. Step 6: Final answer
    x = 248,600.03

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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.