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Finding the Fourth Proportional to 374,524.42, 516,843.66 and 204,758.50

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Solution

The fourth proportional to 374,524.42, 516,843.66 and 204,758.50 is: 282,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,524.42 : 516,843.66 = 204,758.50 : x
  2. Step 2: Convert to fraction form
    374,524.42/516,843.66 = 204,758.50/x
  3. Step 3: Cross multiply
    374,524.42x = 516,843.66 × 204,758.50
  4. Step 4: Simplify right side
    374,524.42x = 105,828,132,556.11
  5. Step 5: Solve for x
    x = 105,828,132,556.11/374,524.42
  6. Step 6: Final answer
    x = 282,566.71

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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.