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Finding the Fourth Proportional to 413,966.80, 620,830 and 161,190.80

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Solution

The fourth proportional to 413,966.80, 620,830 and 161,190.80 is: 241,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,966.80 : 620,830 = 161,190.80 : x
  2. Step 2: Convert to fraction form
    413,966.80/620,830 = 161,190.80/x
  3. Step 3: Cross multiply
    413,966.80x = 620,830 × 161,190.80
  4. Step 4: Simplify right side
    413,966.80x = 100,072,084,364
  5. Step 5: Solve for x
    x = 100,072,084,364/413,966.80
  6. Step 6: Final answer
    x = 241,739.40

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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.