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Finding the Fourth Proportional to 411,083.52, 567,222.60 and 229,737.48

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Solution

The fourth proportional to 411,083.52, 567,222.60 and 229,737.48 is: 316,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,083.52 : 567,222.60 = 229,737.48 : x
  2. Step 2: Convert to fraction form
    411,083.52/567,222.60 = 229,737.48/x
  3. Step 3: Cross multiply
    411,083.52x = 567,222.60 × 229,737.48
  4. Step 4: Simplify right side
    411,083.52x = 130,312,290,723.05
  5. Step 5: Solve for x
    x = 130,312,290,723.05/411,083.52
  6. Step 6: Final answer
    x = 316,997.12

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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.