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Finding the Fourth Proportional to 314,606.85, 434,164.05 and 171,366.54

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Solution

The fourth proportional to 314,606.85, 434,164.05 and 171,366.54 is: 236,489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,606.85 : 434,164.05 = 171,366.54 : x
  2. Step 2: Convert to fraction form
    314,606.85/434,164.05 = 171,366.54/x
  3. Step 3: Cross multiply
    314,606.85x = 434,164.05 × 171,366.54
  4. Step 4: Simplify right side
    314,606.85x = 74,401,191,040.89
  5. Step 5: Solve for x
    x = 74,401,191,040.89/314,606.85
  6. Step 6: Final answer
    x = 236,489.42

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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.