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Finding the Fourth Proportional to 563,003.52, 844,593.12 and 189,114.24

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Solution

The fourth proportional to 563,003.52, 844,593.12 and 189,114.24 is: 283,700.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,003.52 : 844,593.12 = 189,114.24 : x
  2. Step 2: Convert to fraction form
    563,003.52/844,593.12 = 189,114.24/x
  3. Step 3: Cross multiply
    563,003.52x = 844,593.12 × 189,114.24
  4. Step 4: Simplify right side
    563,003.52x = 159,724,585,998.03
  5. Step 5: Solve for x
    x = 159,724,585,998.03/563,003.52
  6. Step 6: Final answer
    x = 283,700.87

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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.