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Finding the Fourth Proportional to 548,933.40, 823,400.10 and 380,971.80

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Solution

The fourth proportional to 548,933.40, 823,400.10 and 380,971.80 is: 571,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,933.40 : 823,400.10 = 380,971.80 : x
  2. Step 2: Convert to fraction form
    548,933.40/823,400.10 = 380,971.80/x
  3. Step 3: Cross multiply
    548,933.40x = 823,400.10 × 380,971.80
  4. Step 4: Simplify right side
    548,933.40x = 313,692,218,217.18
  5. Step 5: Solve for x
    x = 313,692,218,217.18/548,933.40
  6. Step 6: Final answer
    x = 571,457.70

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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.