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Finding the Fourth Proportional to 414,969.73, 572,652.61 and 233,683.90

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Solution

The fourth proportional to 414,969.73, 572,652.61 and 233,683.90 is: 322,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,969.73 : 572,652.61 = 233,683.90 : x
  2. Step 2: Convert to fraction form
    414,969.73/572,652.61 = 233,683.90/x
  3. Step 3: Cross multiply
    414,969.73x = 572,652.61 × 233,683.90
  4. Step 4: Simplify right side
    414,969.73x = 133,819,695,249.98
  5. Step 5: Solve for x
    x = 133,819,695,249.98/414,969.73
  6. Step 6: Final answer
    x = 322,480.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.