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Finding the Fourth Proportional to 411,533.91, 567,938.82 and 230,234.95

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Solution

The fourth proportional to 411,533.91, 567,938.82 and 230,234.95 is: 317,736.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,533.91 : 567,938.82 = 230,234.95 : x
  2. Step 2: Convert to fraction form
    411,533.91/567,938.82 = 230,234.95/x
  3. Step 3: Cross multiply
    411,533.91x = 567,938.82 × 230,234.95
  4. Step 4: Simplify right side
    411,533.91x = 130,759,367,399.06
  5. Step 5: Solve for x
    x = 130,759,367,399.06/411,533.91
  6. Step 6: Final answer
    x = 317,736.56

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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.