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Finding the Fourth Proportional to 408,821.40, 613,596.60 and 240,130.80

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Solution

The fourth proportional to 408,821.40, 613,596.60 and 240,130.80 is: 360,410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,821.40 : 613,596.60 = 240,130.80 : x
  2. Step 2: Convert to fraction form
    408,821.40/613,596.60 = 240,130.80/x
  3. Step 3: Cross multiply
    408,821.40x = 613,596.60 × 240,130.80
  4. Step 4: Simplify right side
    408,821.40x = 147,343,442,435.28
  5. Step 5: Solve for x
    x = 147,343,442,435.28/408,821.40
  6. Step 6: Final answer
    x = 360,410.30

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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.