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Finding the Fourth Proportional to 421,533.49, 581,716.23 and 230,546.88

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Solution

The fourth proportional to 421,533.49, 581,716.23 and 230,546.88 is: 318,154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,533.49 : 581,716.23 = 230,546.88 : x
  2. Step 2: Convert to fraction form
    421,533.49/581,716.23 = 230,546.88/x
  3. Step 3: Cross multiply
    421,533.49x = 581,716.23 × 230,546.88
  4. Step 4: Simplify right side
    421,533.49x = 134,112,863,940.22
  5. Step 5: Solve for x
    x = 134,112,863,940.22/421,533.49
  6. Step 6: Final answer
    x = 318,154.71

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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.