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Finding the Fourth Proportional to 314,768.26, 434,380.22 and 171,528.26

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Solution

The fourth proportional to 314,768.26, 434,380.22 and 171,528.26 is: 236,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,768.26 : 434,380.22 = 171,528.26 : x
  2. Step 2: Convert to fraction form
    314,768.26/434,380.22 = 171,528.26/x
  3. Step 3: Cross multiply
    314,768.26x = 434,380.22 × 171,528.26
  4. Step 4: Simplify right side
    314,768.26x = 74,508,483,315.02
  5. Step 5: Solve for x
    x = 74,508,483,315.02/314,768.26
  6. Step 6: Final answer
    x = 236,709.01

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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.