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Finding the Fourth Proportional to 257,429.40, 385,625.70 and 178,632.60

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Solution

The fourth proportional to 257,429.40, 385,625.70 and 178,632.60 is: 267,589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,429.40 : 385,625.70 = 178,632.60 : x
  2. Step 2: Convert to fraction form
    257,429.40/385,625.70 = 178,632.60/x
  3. Step 3: Cross multiply
    257,429.40x = 385,625.70 × 178,632.60
  4. Step 4: Simplify right side
    257,429.40x = 68,885,321,417.82
  5. Step 5: Solve for x
    x = 68,885,321,417.82/257,429.40
  6. Step 6: Final answer
    x = 267,589.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.