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Finding the Fourth Proportional to 314,796.10, 434,405.96 and 171,553.04

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Solution

The fourth proportional to 314,796.10, 434,405.96 and 171,553.04 is: 236,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,796.10 : 434,405.96 = 171,553.04 : x
  2. Step 2: Convert to fraction form
    314,796.10/434,405.96 = 171,553.04/x
  3. Step 3: Cross multiply
    314,796.10x = 434,405.96 × 171,553.04
  4. Step 4: Simplify right side
    314,796.10x = 74,523,663,032.12
  5. Step 5: Solve for x
    x = 74,523,663,032.12/314,796.10
  6. Step 6: Final answer
    x = 236,736.30

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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.