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Finding the Fourth Proportional to 505,232.84, 697,338.24 and 333,181.70

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Solution

The fourth proportional to 505,232.84, 697,338.24 and 333,181.70 is: 459,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,232.84 : 697,338.24 = 333,181.70 : x
  2. Step 2: Convert to fraction form
    505,232.84/697,338.24 = 333,181.70/x
  3. Step 3: Cross multiply
    505,232.84x = 697,338.24 × 333,181.70
  4. Step 4: Simplify right side
    505,232.84x = 232,340,340,278.21
  5. Step 5: Solve for x
    x = 232,340,340,278.21/505,232.84
  6. Step 6: Final answer
    x = 459,867.85

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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.