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Finding the Fourth Proportional to 631,589.16, 871,593.24 and 341,200.80

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Solution

The fourth proportional to 631,589.16, 871,593.24 and 341,200.80 is: 470,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,589.16 : 871,593.24 = 341,200.80 : x
  2. Step 2: Convert to fraction form
    631,589.16/871,593.24 = 341,200.80/x
  3. Step 3: Cross multiply
    631,589.16x = 871,593.24 × 341,200.80
  4. Step 4: Simplify right side
    631,589.16x = 297,388,310,762.59
  5. Step 5: Solve for x
    x = 297,388,310,762.59/631,589.16
  6. Step 6: Final answer
    x = 470,857.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.