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Finding the Fourth Proportional to 298,129.44, 411,381.20 and 201,543.40

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Solution

The fourth proportional to 298,129.44, 411,381.20 and 201,543.40 is: 278,104.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,129.44 : 411,381.20 = 201,543.40 : x
  2. Step 2: Convert to fraction form
    298,129.44/411,381.20 = 201,543.40/x
  3. Step 3: Cross multiply
    298,129.44x = 411,381.20 × 201,543.40
  4. Step 4: Simplify right side
    298,129.44x = 82,911,165,744.08
  5. Step 5: Solve for x
    x = 82,911,165,744.08/298,129.44
  6. Step 6: Final answer
    x = 278,104.59

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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.