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Finding the Fourth Proportional to 312,466.68, 431,205.12 and 169,226.28

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Solution

The fourth proportional to 312,466.68, 431,205.12 and 169,226.28 is: 233,532.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,466.68 : 431,205.12 = 169,226.28 : x
  2. Step 2: Convert to fraction form
    312,466.68/431,205.12 = 169,226.28/x
  3. Step 3: Cross multiply
    312,466.68x = 431,205.12 × 169,226.28
  4. Step 4: Simplify right side
    312,466.68x = 72,971,238,374.55
  5. Step 5: Solve for x
    x = 72,971,238,374.55/312,466.68
  6. Step 6: Final answer
    x = 233,532.86

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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.