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Finding the Fourth Proportional to 312,434.35, 431,158.55 and 169,194.35

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Solution

The fourth proportional to 312,434.35, 431,158.55 and 169,194.35 is: 233,487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,434.35 : 431,158.55 = 169,194.35 : x
  2. Step 2: Convert to fraction form
    312,434.35/431,158.55 = 169,194.35/x
  3. Step 3: Cross multiply
    312,434.35x = 431,158.55 × 169,194.35
  4. Step 4: Simplify right side
    312,434.35x = 72,949,590,846.12
  5. Step 5: Solve for x
    x = 72,949,590,846.12/312,434.35
  6. Step 6: Final answer
    x = 233,487.74

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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.