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Finding the Fourth Proportional to 312,807.30, 431,674.65 and 169,566.90

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Solution

The fourth proportional to 312,807.30, 431,674.65 and 169,566.90 is: 234,002.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,807.30 : 431,674.65 = 169,566.90 : x
  2. Step 2: Convert to fraction form
    312,807.30/431,674.65 = 169,566.90/x
  3. Step 3: Cross multiply
    312,807.30x = 431,674.65 × 169,566.90
  4. Step 4: Simplify right side
    312,807.30x = 73,197,732,209.09
  5. Step 5: Solve for x
    x = 73,197,732,209.09/312,807.30
  6. Step 6: Final answer
    x = 234,002.63

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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.