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Finding the Fourth Proportional to 565,817.78, 780,836.27 and 324,100.22

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Solution

The fourth proportional to 565,817.78, 780,836.27 and 324,100.22 is: 447,262.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,817.78 : 780,836.27 = 324,100.22 : x
  2. Step 2: Convert to fraction form
    565,817.78/780,836.27 = 324,100.22/x
  3. Step 3: Cross multiply
    565,817.78x = 780,836.27 × 324,100.22
  4. Step 4: Simplify right side
    565,817.78x = 253,069,201,366.30
  5. Step 5: Solve for x
    x = 253,069,201,366.30/565,817.78
  6. Step 6: Final answer
    x = 447,262.73

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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.