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Finding the Fourth Proportional to 347,374.89, 479,385.86 and 194,411.88

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Solution

The fourth proportional to 347,374.89, 479,385.86 and 194,411.88 is: 268,293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,374.89 : 479,385.86 = 194,411.88 : x
  2. Step 2: Convert to fraction form
    347,374.89/479,385.86 = 194,411.88/x
  3. Step 3: Cross multiply
    347,374.89x = 479,385.86 × 194,411.88
  4. Step 4: Simplify right side
    347,374.89x = 93,198,306,288.02
  5. Step 5: Solve for x
    x = 93,198,306,288.02/347,374.89
  6. Step 6: Final answer
    x = 268,293.16

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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.