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Finding the Fourth Proportional to 567,215.19, 782,755.38 and 312,566.31

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Solution

The fourth proportional to 567,215.19, 782,755.38 and 312,566.31 is: 431,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,215.19 : 782,755.38 = 312,566.31 : x
  2. Step 2: Convert to fraction form
    567,215.19/782,755.38 = 312,566.31/x
  3. Step 3: Cross multiply
    567,215.19x = 782,755.38 × 312,566.31
  4. Step 4: Simplify right side
    567,215.19x = 244,662,960,759.25
  5. Step 5: Solve for x
    x = 244,662,960,759.25/567,215.19
  6. Step 6: Final answer
    x = 431,340.64

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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.