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Finding the Fourth Proportional to 432,493.97, 596,839.30 and 238,914.97

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Solution

The fourth proportional to 432,493.97, 596,839.30 and 238,914.97 is: 329,701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,493.97 : 596,839.30 = 238,914.97 : x
  2. Step 2: Convert to fraction form
    432,493.97/596,839.30 = 238,914.97/x
  3. Step 3: Cross multiply
    432,493.97x = 596,839.30 × 238,914.97
  4. Step 4: Simplify right side
    432,493.97x = 142,593,841,364.94
  5. Step 5: Solve for x
    x = 142,593,841,364.94/432,493.97
  6. Step 6: Final answer
    x = 329,701.34

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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.