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Finding the Fourth Proportional to 414,686.80, 621,569.40 and 177,989.20

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Solution

The fourth proportional to 414,686.80, 621,569.40 and 177,989.20 is: 266,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,686.80 : 621,569.40 = 177,989.20 : x
  2. Step 2: Convert to fraction form
    414,686.80/621,569.40 = 177,989.20/x
  3. Step 3: Cross multiply
    414,686.80x = 621,569.40 × 177,989.20
  4. Step 4: Simplify right side
    414,686.80x = 110,632,640,250.48
  5. Step 5: Solve for x
    x = 110,632,640,250.48/414,686.80
  6. Step 6: Final answer
    x = 266,786.02

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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.