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Finding the Fourth Proportional to 267,724.50, 401,457.54 and 155,432.96

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Solution

The fourth proportional to 267,724.50, 401,457.54 and 155,432.96 is: 233,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,724.50 : 401,457.54 = 155,432.96 : x
  2. Step 2: Convert to fraction form
    267,724.50/401,457.54 = 155,432.96/x
  3. Step 3: Cross multiply
    267,724.50x = 401,457.54 × 155,432.96
  4. Step 4: Simplify right side
    267,724.50x = 62,399,733,756.52
  5. Step 5: Solve for x
    x = 62,399,733,756.52/267,724.50
  6. Step 6: Final answer
    x = 233,074.42

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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.