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Finding the Fourth Proportional to 374,536.86, 516,860.79 and 204,770.94

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Solution

The fourth proportional to 374,536.86, 516,860.79 and 204,770.94 is: 282,583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,536.86 : 516,860.79 = 204,770.94 : x
  2. Step 2: Convert to fraction form
    374,536.86/516,860.79 = 204,770.94/x
  3. Step 3: Cross multiply
    374,536.86x = 516,860.79 × 204,770.94
  4. Step 4: Simplify right side
    374,536.86x = 105,838,069,817.44
  5. Step 5: Solve for x
    x = 105,838,069,817.44/374,536.86
  6. Step 6: Final answer
    x = 282,583.86

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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.