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Finding the Fourth Proportional to 520,200.80, 780,301.20 and 388,008.80

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Solution

The fourth proportional to 520,200.80, 780,301.20 and 388,008.80 is: 582,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,200.80 : 780,301.20 = 388,008.80 : x
  2. Step 2: Convert to fraction form
    520,200.80/780,301.20 = 388,008.80/x
  3. Step 3: Cross multiply
    520,200.80x = 780,301.20 × 388,008.80
  4. Step 4: Simplify right side
    520,200.80x = 302,763,732,250.56
  5. Step 5: Solve for x
    x = 302,763,732,250.56/520,200.80
  6. Step 6: Final answer
    x = 582,013.20

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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.