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Finding the Fourth Proportional to 414,662.61, 621,770.93 and 243,943.34

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Solution

The fourth proportional to 414,662.61, 621,770.93 and 243,943.34 is: 365,783.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,662.61 : 621,770.93 = 243,943.34 : x
  2. Step 2: Convert to fraction form
    414,662.61/621,770.93 = 243,943.34/x
  3. Step 3: Cross multiply
    414,662.61x = 621,770.93 × 243,943.34
  4. Step 4: Simplify right side
    414,662.61x = 151,676,876,434.54
  5. Step 5: Solve for x
    x = 151,676,876,434.54/414,662.61
  6. Step 6: Final answer
    x = 365,783.83

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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.