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Finding the Fourth Proportional to 312,429.92, 431,153.52 and 169,190.12

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Solution

The fourth proportional to 312,429.92, 431,153.52 and 169,190.12 is: 233,482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,429.92 : 431,153.52 = 169,190.12 : x
  2. Step 2: Convert to fraction form
    312,429.92/431,153.52 = 169,190.12/x
  3. Step 3: Cross multiply
    312,429.92x = 431,153.52 × 169,190.12
  4. Step 4: Simplify right side
    312,429.92x = 72,946,915,787.22
  5. Step 5: Solve for x
    x = 72,946,915,787.22/312,429.92
  6. Step 6: Final answer
    x = 233,482.49

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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.