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Finding the Fourth Proportional to 411,140.16, 567,385.88 and 229,859.73

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Solution

The fourth proportional to 411,140.16, 567,385.88 and 229,859.73 is: 317,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,140.16 : 567,385.88 = 229,859.73 : x
  2. Step 2: Convert to fraction form
    411,140.16/567,385.88 = 229,859.73/x
  3. Step 3: Cross multiply
    411,140.16x = 567,385.88 × 229,859.73
  4. Step 4: Simplify right side
    411,140.16x = 130,419,164,033.31
  5. Step 5: Solve for x
    x = 130,419,164,033.31/411,140.16
  6. Step 6: Final answer
    x = 317,213.39

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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.