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Finding the Fourth Proportional to 314,651.00, 434,214.43 and 171,407.97

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Solution

The fourth proportional to 314,651.00, 434,214.43 and 171,407.97 is: 236,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,651.00 : 434,214.43 = 171,407.97 : x
  2. Step 2: Convert to fraction form
    314,651.00/434,214.43 = 171,407.97/x
  3. Step 3: Cross multiply
    314,651.00x = 434,214.43 × 171,407.97
  4. Step 4: Simplify right side
    314,651.00x = 74,427,813,562.49
  5. Step 5: Solve for x
    x = 74,427,813,562.49/314,651.00
  6. Step 6: Final answer
    x = 236,540.84

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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.