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Finding the Fourth Proportional to 567,284.38, 782,852.42 and 312,635.56

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Solution

The fourth proportional to 567,284.38, 782,852.42 and 312,635.56 is: 431,437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,284.38 : 782,852.42 = 312,635.56 : x
  2. Step 2: Convert to fraction form
    567,284.38/782,852.42 = 312,635.56/x
  3. Step 3: Cross multiply
    567,284.38x = 782,852.42 × 312,635.56
  4. Step 4: Simplify right side
    567,284.38x = 244,747,504,724.06
  5. Step 5: Solve for x
    x = 244,747,504,724.06/567,284.38
  6. Step 6: Final answer
    x = 431,437.06

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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.