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Finding the Fourth Proportional to 357,257.84, 493,013.86 and 196,115.63

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Solution

The fourth proportional to 357,257.84, 493,013.86 and 196,115.63 is: 270,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,257.84 : 493,013.86 = 196,115.63 : x
  2. Step 2: Convert to fraction form
    357,257.84/493,013.86 = 196,115.63/x
  3. Step 3: Cross multiply
    357,257.84x = 493,013.86 × 196,115.63
  4. Step 4: Simplify right side
    357,257.84x = 96,687,721,287.56
  5. Step 5: Solve for x
    x = 96,687,721,287.56/357,257.84
  6. Step 6: Final answer
    x = 270,638.49

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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.