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Finding the Fourth Proportional to 414,298.80, 621,347.16 and 114,771.60

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Solution

The fourth proportional to 414,298.80, 621,347.16 and 114,771.60 is: 172,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,298.80 : 621,347.16 = 114,771.60 : x
  2. Step 2: Convert to fraction form
    414,298.80/621,347.16 = 114,771.60/x
  3. Step 3: Cross multiply
    414,298.80x = 621,347.16 × 114,771.60
  4. Step 4: Simplify right side
    414,298.80x = 71,313,007,708.66
  5. Step 5: Solve for x
    x = 71,313,007,708.66/414,298.80
  6. Step 6: Final answer
    x = 172,129.41

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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.