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Finding the Fourth Proportional to 313,025.68, 431,633.09 and 232,602.40

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Solution

The fourth proportional to 313,025.68, 431,633.09 and 232,602.40 is: 320,736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,025.68 : 431,633.09 = 232,602.40 : x
  2. Step 2: Convert to fraction form
    313,025.68/431,633.09 = 232,602.40/x
  3. Step 3: Cross multiply
    313,025.68x = 431,633.09 × 232,602.40
  4. Step 4: Simplify right side
    313,025.68x = 100,398,892,653.42
  5. Step 5: Solve for x
    x = 100,398,892,653.42/313,025.68
  6. Step 6: Final answer
    x = 320,736.92

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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.