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Finding the Fourth Proportional to 347,785.92, 479,905.20 and 194,803.20

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Solution

The fourth proportional to 347,785.92, 479,905.20 and 194,803.20 is: 268,806.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,785.92 : 479,905.20 = 194,803.20 : x
  2. Step 2: Convert to fraction form
    347,785.92/479,905.20 = 194,803.20/x
  3. Step 3: Cross multiply
    347,785.92x = 479,905.20 × 194,803.20
  4. Step 4: Simplify right side
    347,785.92x = 93,487,068,656.64
  5. Step 5: Solve for x
    x = 93,487,068,656.64/347,785.92
  6. Step 6: Final answer
    x = 268,806.36

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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.