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Finding the Fourth Proportional to 414,540.80, 621,350.40 and 177,843.20

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Solution

The fourth proportional to 414,540.80, 621,350.40 and 177,843.20 is: 266,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,540.80 : 621,350.40 = 177,843.20 : x
  2. Step 2: Convert to fraction form
    414,540.80/621,350.40 = 177,843.20/x
  3. Step 3: Cross multiply
    414,540.80x = 621,350.40 × 177,843.20
  4. Step 4: Simplify right side
    414,540.80x = 110,502,943,457.28
  5. Step 5: Solve for x
    x = 110,502,943,457.28/414,540.80
  6. Step 6: Final answer
    x = 266,567.11

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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.