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Finding the Fourth Proportional to 567,118.84, 782,623.38 and 312,469.96

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Solution

The fourth proportional to 567,118.84, 782,623.38 and 312,469.96 is: 431,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,118.84 : 782,623.38 = 312,469.96 : x
  2. Step 2: Convert to fraction form
    567,118.84/782,623.38 = 312,469.96/x
  3. Step 3: Cross multiply
    567,118.84x = 782,623.38 × 312,469.96
  4. Step 4: Simplify right side
    567,118.84x = 244,546,296,243.67
  5. Step 5: Solve for x
    x = 244,546,296,243.67/567,118.84
  6. Step 6: Final answer
    x = 431,208.20

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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.