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Finding the Fourth Proportional to 523,147.25, 784,728.30 and 149,170.25

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Solution

The fourth proportional to 523,147.25, 784,728.30 and 149,170.25 is: 223,757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,147.25 : 784,728.30 = 149,170.25 : x
  2. Step 2: Convert to fraction form
    523,147.25/784,728.30 = 149,170.25/x
  3. Step 3: Cross multiply
    523,147.25x = 784,728.30 × 149,170.25
  4. Step 4: Simplify right side
    523,147.25x = 117,058,116,693.08
  5. Step 5: Solve for x
    x = 117,058,116,693.08/523,147.25
  6. Step 6: Final answer
    x = 223,757.49

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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.