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Finding the Fourth Proportional to 494,723.50, 742,206.03 and 157,764.16

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Solution

The fourth proportional to 494,723.50, 742,206.03 and 157,764.16 is: 236,684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,723.50 : 742,206.03 = 157,764.16 : x
  2. Step 2: Convert to fraction form
    494,723.50/742,206.03 = 157,764.16/x
  3. Step 3: Cross multiply
    494,723.50x = 742,206.03 × 157,764.16
  4. Step 4: Simplify right side
    494,723.50x = 117,093,510,869.89
  5. Step 5: Solve for x
    x = 117,093,510,869.89/494,723.50
  6. Step 6: Final answer
    x = 236,684.76

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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.