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Finding the Fourth Proportional to 374,471.72, 516,771.12 and 204,705.80

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Solution

The fourth proportional to 374,471.72, 516,771.12 and 204,705.80 is: 282,494.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,471.72 : 516,771.12 = 204,705.80 : x
  2. Step 2: Convert to fraction form
    374,471.72/516,771.12 = 204,705.80/x
  3. Step 3: Cross multiply
    374,471.72x = 516,771.12 × 204,705.80
  4. Step 4: Simplify right side
    374,471.72x = 105,786,045,536.50
  5. Step 5: Solve for x
    x = 105,786,045,536.50/374,471.72
  6. Step 6: Final answer
    x = 282,494.08

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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.