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Finding the Fourth Proportional to 411,331.30, 616,536.15 and 233,923.30

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Solution

The fourth proportional to 411,331.30, 616,536.15 and 233,923.30 is: 350,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,331.30 : 616,536.15 = 233,923.30 : x
  2. Step 2: Convert to fraction form
    411,331.30/616,536.15 = 233,923.30/x
  3. Step 3: Cross multiply
    411,331.30x = 616,536.15 × 233,923.30
  4. Step 4: Simplify right side
    411,331.30x = 144,222,170,777.30
  5. Step 5: Solve for x
    x = 144,222,170,777.30/411,331.30
  6. Step 6: Final answer
    x = 350,622.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.