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Finding the Fourth Proportional to 298,128.19, 411,379.48 and 201,542.15

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Solution

The fourth proportional to 298,128.19, 411,379.48 and 201,542.15 is: 278,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,128.19 : 411,379.48 = 201,542.15 : x
  2. Step 2: Convert to fraction form
    298,128.19/411,379.48 = 201,542.15/x
  3. Step 3: Cross multiply
    298,128.19x = 411,379.48 × 201,542.15
  4. Step 4: Simplify right side
    298,128.19x = 82,910,302,808.18
  5. Step 5: Solve for x
    x = 82,910,302,808.18/298,128.19
  6. Step 6: Final answer
    x = 278,102.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.