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Finding the Fourth Proportional to 347,855.38, 480,031.92 and 194,899.96

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Solution

The fourth proportional to 347,855.38, 480,031.92 and 194,899.96 is: 268,957.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,855.38 : 480,031.92 = 194,899.96 : x
  2. Step 2: Convert to fraction form
    347,855.38/480,031.92 = 194,899.96/x
  3. Step 3: Cross multiply
    347,855.38x = 480,031.92 × 194,899.96
  4. Step 4: Simplify right side
    347,855.38x = 93,558,202,006.72
  5. Step 5: Solve for x
    x = 93,558,202,006.72/347,855.38
  6. Step 6: Final answer
    x = 268,957.18

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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.