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Finding the Fourth Proportional to 522,057.80, 783,086.70 and 256,337.30

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Solution

The fourth proportional to 522,057.80, 783,086.70 and 256,337.30 is: 384,505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,057.80 : 783,086.70 = 256,337.30 : x
  2. Step 2: Convert to fraction form
    522,057.80/783,086.70 = 256,337.30/x
  3. Step 3: Cross multiply
    522,057.80x = 783,086.70 × 256,337.30
  4. Step 4: Simplify right side
    522,057.80x = 200,734,330,343.91
  5. Step 5: Solve for x
    x = 200,734,330,343.91/522,057.80
  6. Step 6: Final answer
    x = 384,505.95

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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.