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Finding the Fourth Proportional to 314,896.72, 434,556.24 and 171,656.32

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Solution

The fourth proportional to 314,896.72, 434,556.24 and 171,656.32 is: 236,885.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,896.72 : 434,556.24 = 171,656.32 : x
  2. Step 2: Convert to fraction form
    314,896.72/434,556.24 = 171,656.32/x
  3. Step 3: Cross multiply
    314,896.72x = 434,556.24 × 171,656.32
  4. Step 4: Simplify right side
    314,896.72x = 74,594,324,991.44
  5. Step 5: Solve for x
    x = 74,594,324,991.44/314,896.72
  6. Step 6: Final answer
    x = 236,885.05

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1.5x scale

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.