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Finding the Fourth Proportional to 347,042.62, 478,943.22 and 194,095.04

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Solution

The fourth proportional to 347,042.62, 478,943.22 and 194,095.04 is: 267,864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,042.62 : 478,943.22 = 194,095.04 : x
  2. Step 2: Convert to fraction form
    347,042.62/478,943.22 = 194,095.04/x
  3. Step 3: Cross multiply
    347,042.62x = 478,943.22 × 194,095.04
  4. Step 4: Simplify right side
    347,042.62x = 92,960,505,271.96
  5. Step 5: Solve for x
    x = 92,960,505,271.96/347,042.62
  6. Step 6: Final answer
    x = 267,864.81

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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.