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Finding the Fourth Proportional to 567,231.29, 782,769.03 and 309,110.48

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Solution

The fourth proportional to 567,231.29, 782,769.03 and 309,110.48 is: 426,566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,231.29 : 782,769.03 = 309,110.48 : x
  2. Step 2: Convert to fraction form
    567,231.29/782,769.03 = 309,110.48/x
  3. Step 3: Cross multiply
    567,231.29x = 782,769.03 × 309,110.48
  4. Step 4: Simplify right side
    567,231.29x = 241,962,110,592.43
  5. Step 5: Solve for x
    x = 241,962,110,592.43/567,231.29
  6. Step 6: Final answer
    x = 426,566.93

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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.