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Finding the Fourth Proportional to 512,803.20, 769,204.80 and 217,276.80

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Solution

The fourth proportional to 512,803.20, 769,204.80 and 217,276.80 is: 325,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,803.20 : 769,204.80 = 217,276.80 : x
  2. Step 2: Convert to fraction form
    512,803.20/769,204.80 = 217,276.80/x
  3. Step 3: Cross multiply
    512,803.20x = 769,204.80 × 217,276.80
  4. Step 4: Simplify right side
    512,803.20x = 167,130,357,488.64
  5. Step 5: Solve for x
    x = 167,130,357,488.64/512,803.20
  6. Step 6: Final answer
    x = 325,915.20

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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.