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Finding the Fourth Proportional to 294,638.27, 406,603.50 and 178,354.41

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Solution

The fourth proportional to 294,638.27, 406,603.50 and 178,354.41 is: 246,130.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,638.27 : 406,603.50 = 178,354.41 : x
  2. Step 2: Convert to fraction form
    294,638.27/406,603.50 = 178,354.41/x
  3. Step 3: Cross multiply
    294,638.27x = 406,603.50 × 178,354.41
  4. Step 4: Simplify right side
    294,638.27x = 72,519,527,346.44
  5. Step 5: Solve for x
    x = 72,519,527,346.44/294,638.27
  6. Step 6: Final answer
    x = 246,130.71

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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.