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Finding the Fourth Proportional to 411,489.30, 616,942.35 and 158,672.10

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Solution

The fourth proportional to 411,489.30, 616,942.35 and 158,672.10 is: 237,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,489.30 : 616,942.35 = 158,672.10 : x
  2. Step 2: Convert to fraction form
    411,489.30/616,942.35 = 158,672.10/x
  3. Step 3: Cross multiply
    411,489.30x = 616,942.35 × 158,672.10
  4. Step 4: Simplify right side
    411,489.30x = 97,891,538,253.44
  5. Step 5: Solve for x
    x = 97,891,538,253.44/411,489.30
  6. Step 6: Final answer
    x = 237,895.71

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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.