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Finding the Fourth Proportional to 314,553.97, 434,089.42 and 171,313.90

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Solution

The fourth proportional to 314,553.97, 434,089.42 and 171,313.90 is: 236,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,553.97 : 434,089.42 = 171,313.90 : x
  2. Step 2: Convert to fraction form
    314,553.97/434,089.42 = 171,313.90/x
  3. Step 3: Cross multiply
    314,553.97x = 434,089.42 × 171,313.90
  4. Step 4: Simplify right side
    314,553.97x = 74,365,549,975.43
  5. Step 5: Solve for x
    x = 74,365,549,975.43/314,553.97
  6. Step 6: Final answer
    x = 236,415.87

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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.