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Finding the Fourth Proportional to 563,850.81, 777,361.32 and 447,948.81

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Solution

The fourth proportional to 563,850.81, 777,361.32 and 447,948.81 is: 617,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,850.81 : 777,361.32 = 447,948.81 : x
  2. Step 2: Convert to fraction form
    563,850.81/777,361.32 = 447,948.81/x
  3. Step 3: Cross multiply
    563,850.81x = 777,361.32 × 447,948.81
  4. Step 4: Simplify right side
    563,850.81x = 348,218,078,234.03
  5. Step 5: Solve for x
    x = 348,218,078,234.03/563,850.81
  6. Step 6: Final answer
    x = 617,571.30

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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.