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Finding the Fourth Proportional to 414,161.60, 621,242.40 and 366,922.40

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Solution

The fourth proportional to 414,161.60, 621,242.40 and 366,922.40 is: 550,383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,161.60 : 621,242.40 = 366,922.40 : x
  2. Step 2: Convert to fraction form
    414,161.60/621,242.40 = 366,922.40/x
  3. Step 3: Cross multiply
    414,161.60x = 621,242.40 × 366,922.40
  4. Step 4: Simplify right side
    414,161.60x = 227,947,752,389.76
  5. Step 5: Solve for x
    x = 227,947,752,389.76/414,161.60
  6. Step 6: Final answer
    x = 550,383.60

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Why These Related Problems?

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