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Finding the Fourth Proportional to 314,771.44, 434,371.94 and 171,528.41

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Solution

The fourth proportional to 314,771.44, 434,371.94 and 171,528.41 is: 236,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,771.44 : 434,371.94 = 171,528.41 : x
  2. Step 2: Convert to fraction form
    314,771.44/434,371.94 = 171,528.41/x
  3. Step 3: Cross multiply
    314,771.44x = 434,371.94 × 171,528.41
  4. Step 4: Simplify right side
    314,771.44x = 74,507,128,216.82
  5. Step 5: Solve for x
    x = 74,507,128,216.82/314,771.44
  6. Step 6: Final answer
    x = 236,702.31

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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.