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Finding the Fourth Proportional to 505,824.76, 697,563.68 and 324,593.74

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Solution

The fourth proportional to 505,824.76, 697,563.68 and 324,593.74 is: 447,634.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,824.76 : 697,563.68 = 324,593.74 : x
  2. Step 2: Convert to fraction form
    505,824.76/697,563.68 = 324,593.74/x
  3. Step 3: Cross multiply
    505,824.76x = 697,563.68 × 324,593.74
  4. Step 4: Simplify right side
    505,824.76x = 226,424,803,028.35
  5. Step 5: Solve for x
    x = 226,424,803,028.35/505,824.76
  6. Step 6: Final answer
    x = 447,634.87

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