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Finding the Fourth Proportional to 331,119, 456,944.22 and 180,217.08

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Solution

The fourth proportional to 331,119, 456,944.22 and 180,217.08 is: 248,699.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,119 : 456,944.22 = 180,217.08 : x
  2. Step 2: Convert to fraction form
    331,119/456,944.22 = 180,217.08/x
  3. Step 3: Cross multiply
    331,119x = 456,944.22 × 180,217.08
  4. Step 4: Simplify right side
    331,119x = 82,349,153,051.28
  5. Step 5: Solve for x
    x = 82,349,153,051.28/331,119
  6. Step 6: Final answer
    x = 248,699.57

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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.