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Finding the Fourth Proportional to 411,532.74, 567,937.26 and 230,233.86

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Solution

The fourth proportional to 411,532.74, 567,937.26 and 230,233.86 is: 317,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,532.74 : 567,937.26 = 230,233.86 : x
  2. Step 2: Convert to fraction form
    411,532.74/567,937.26 = 230,233.86/x
  3. Step 3: Cross multiply
    411,532.74x = 567,937.26 × 230,233.86
  4. Step 4: Simplify right side
    411,532.74x = 130,758,387,607.62
  5. Step 5: Solve for x
    x = 130,758,387,607.62/411,532.74
  6. Step 6: Final answer
    x = 317,735.08

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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.