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Finding the Fourth Proportional to 411,509.60, 567,935.52 and 230,231.60

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Solution

The fourth proportional to 411,509.60, 567,935.52 and 230,231.60 is: 317,748.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,509.60 : 567,935.52 = 230,231.60 : x
  2. Step 2: Convert to fraction form
    411,509.60/567,935.52 = 230,231.60/x
  3. Step 3: Cross multiply
    411,509.60x = 567,935.52 × 230,231.60
  4. Step 4: Simplify right side
    411,509.60x = 130,756,703,466.43
  5. Step 5: Solve for x
    x = 130,756,703,466.43/411,509.60
  6. Step 6: Final answer
    x = 317,748.85

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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.