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Finding the Fourth Proportional to 819,780, 1,227,351.42 and 434,651.46

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Solution

The fourth proportional to 819,780, 1,227,351.42 and 434,651.46 is: 650,747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,780 : 1,227,351.42 = 434,651.46 : x
  2. Step 2: Convert to fraction form
    819,780/1,227,351.42 = 434,651.46/x
  3. Step 3: Cross multiply
    819,780x = 1,227,351.42 × 434,651.46
  4. Step 4: Simplify right side
    819,780x = 533,470,086,636.07
  5. Step 5: Solve for x
    x = 533,470,086,636.07/819,780
  6. Step 6: Final answer
    x = 650,747.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.