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Finding the Fourth Proportional to 560,573, 773,607.14 and 305,940.52

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Solution

The fourth proportional to 560,573, 773,607.14 and 305,940.52 is: 422,206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,573 : 773,607.14 = 305,940.52 : x
  2. Step 2: Convert to fraction form
    560,573/773,607.14 = 305,940.52/x
  3. Step 3: Cross multiply
    560,573x = 773,607.14 × 305,940.52
  4. Step 4: Simplify right side
    560,573x = 236,677,770,687.31
  5. Step 5: Solve for x
    x = 236,677,770,687.31/560,573
  6. Step 6: Final answer
    x = 422,206.87

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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.