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Finding the Fourth Proportional to 523,245.50, 784,985.25 and 190,821.50

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Solution

The fourth proportional to 523,245.50, 784,985.25 and 190,821.50 is: 286,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,245.50 : 784,985.25 = 190,821.50 : x
  2. Step 2: Convert to fraction form
    523,245.50/784,985.25 = 190,821.50/x
  3. Step 3: Cross multiply
    523,245.50x = 784,985.25 × 190,821.50
  4. Step 4: Simplify right side
    523,245.50x = 149,792,062,882.88
  5. Step 5: Solve for x
    x = 149,792,062,882.88/523,245.50
  6. Step 6: Final answer
    x = 286,274.92

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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.