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Finding the Fourth Proportional to 374,521.42, 516,839.52 and 204,755.50

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Solution

The fourth proportional to 374,521.42, 516,839.52 and 204,755.50 is: 282,562.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,521.42 : 516,839.52 = 204,755.50 : x
  2. Step 2: Convert to fraction form
    374,521.42/516,839.52 = 204,755.50/x
  3. Step 3: Cross multiply
    374,521.42x = 516,839.52 × 204,755.50
  4. Step 4: Simplify right side
    374,521.42x = 105,825,734,337.36
  5. Step 5: Solve for x
    x = 105,825,734,337.36/374,521.42
  6. Step 6: Final answer
    x = 282,562.57

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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.