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Finding the Fourth Proportional to 312,784.57, 431,631.14 and 169,541.54

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Solution

The fourth proportional to 312,784.57, 431,631.14 and 169,541.54 is: 233,961.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,784.57 : 431,631.14 = 169,541.54 : x
  2. Step 2: Convert to fraction form
    312,784.57/431,631.14 = 169,541.54/x
  3. Step 3: Cross multiply
    312,784.57x = 431,631.14 × 169,541.54
  4. Step 4: Simplify right side
    312,784.57x = 73,179,408,187.56
  5. Step 5: Solve for x
    x = 73,179,408,187.56/312,784.57
  6. Step 6: Final answer
    x = 233,961.06

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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.