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Finding the Fourth Proportional to 411,314.60, 567,610.10 and 230,024.44

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Solution

The fourth proportional to 411,314.60, 567,610.10 and 230,024.44 is: 317,431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,314.60 : 567,610.10 = 230,024.44 : x
  2. Step 2: Convert to fraction form
    411,314.60/567,610.10 = 230,024.44/x
  3. Step 3: Cross multiply
    411,314.60x = 567,610.10 × 230,024.44
  4. Step 4: Simplify right side
    411,314.60x = 130,564,195,390.84
  5. Step 5: Solve for x
    x = 130,564,195,390.84/411,314.60
  6. Step 6: Final answer
    x = 317,431.46

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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.