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Finding the Fourth Proportional to 228,410.38, 342,613.66 and 178,532.44

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Solution

The fourth proportional to 228,410.38, 342,613.66 and 178,532.44 is: 267,797.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,410.38 : 342,613.66 = 178,532.44 : x
  2. Step 2: Convert to fraction form
    228,410.38/342,613.66 = 178,532.44/x
  3. Step 3: Cross multiply
    228,410.38x = 342,613.66 × 178,532.44
  4. Step 4: Simplify right side
    228,410.38x = 61,167,652,697.13
  5. Step 5: Solve for x
    x = 61,167,652,697.13/228,410.38
  6. Step 6: Final answer
    x = 267,797.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.