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Finding the Fourth Proportional to 355,165.47, 490,122.81 and 194,017.38

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Solution

The fourth proportional to 355,165.47, 490,122.81 and 194,017.38 is: 267,740.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,165.47 : 490,122.81 = 194,017.38 : x
  2. Step 2: Convert to fraction form
    355,165.47/490,122.81 = 194,017.38/x
  3. Step 3: Cross multiply
    355,165.47x = 490,122.81 × 194,017.38
  4. Step 4: Simplify right side
    355,165.47x = 95,092,343,474.44
  5. Step 5: Solve for x
    x = 95,092,343,474.44/355,165.47
  6. Step 6: Final answer
    x = 267,740.96

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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.