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Finding the Fourth Proportional to 347,676.84, 479,754.36 and 194,693.76

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Solution

The fourth proportional to 347,676.84, 479,754.36 and 194,693.76 is: 268,655.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,676.84 : 479,754.36 = 194,693.76 : x
  2. Step 2: Convert to fraction form
    347,676.84/479,754.36 = 194,693.76/x
  3. Step 3: Cross multiply
    347,676.84x = 479,754.36 × 194,693.76
  4. Step 4: Simplify right side
    347,676.84x = 93,405,180,224.79
  5. Step 5: Solve for x
    x = 93,405,180,224.79/347,676.84
  6. Step 6: Final answer
    x = 268,655.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.