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Finding the Fourth Proportional to 582,080.80, 873,121.20 and 512,096.80

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Solution

The fourth proportional to 582,080.80, 873,121.20 and 512,096.80 is: 768,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,080.80 : 873,121.20 = 512,096.80 : x
  2. Step 2: Convert to fraction form
    582,080.80/873,121.20 = 512,096.80/x
  3. Step 3: Cross multiply
    582,080.80x = 873,121.20 × 512,096.80
  4. Step 4: Simplify right side
    582,080.80x = 447,122,572,532.16
  5. Step 5: Solve for x
    x = 447,122,572,532.16/582,080.80
  6. Step 6: Final answer
    x = 768,145.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.