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Finding the Fourth Proportional to 567,186.82, 782,734.28 and 312,554.41

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Solution

The fourth proportional to 567,186.82, 782,734.28 and 312,554.41 is: 431,334.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,186.82 : 782,734.28 = 312,554.41 : x
  2. Step 2: Convert to fraction form
    567,186.82/782,734.28 = 312,554.41/x
  3. Step 3: Cross multiply
    567,186.82x = 782,734.28 × 312,554.41
  4. Step 4: Simplify right side
    567,186.82x = 244,647,051,072.18
  5. Step 5: Solve for x
    x = 244,647,051,072.18/567,186.82
  6. Step 6: Final answer
    x = 431,334.16

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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.